Finding the Third Proportional to 493,606,695,216 and 1,001,092,487,322

Step by Step Solution

1. Step 1: Write the proportion equation
   493,606,695,216 : 1,001,092,487,322 = 1,001,092,487,322 : x
2. Step 2: Convert to fraction form
   493,606,695,216/1,001,092,487,322 = 1,001,092,487,322/x
3. Step 3: Cross multiply
   493,606,695,216x = 1,001,092,487,322 × 1,001,092,487,322
4. Step 4: Simplify right side
   493,606,695,216x = 1,002,186,168,172,548,714,397,696
5. Step 5: Solve for x
   x = 1,002,186,168,172,548,714,397,696/493,606,695,216
6. Step 6: Final answer
   x = 2,030,333,417,041.67