Finding the Third Proportional to 84,830,071,370 and 184,553,771,257

Step by Step Solution

1. Step 1: Write the proportion equation
   84,830,071,370 : 184,553,771,257 = 184,553,771,257 : x
2. Step 2: Convert to fraction form
   84,830,071,370/184,553,771,257 = 184,553,771,257/x
3. Step 3: Cross multiply
   84,830,071,370x = 184,553,771,257 × 184,553,771,257
4. Step 4: Simplify right side
   84,830,071,370x = 34,060,094,485,181,080,010,752
5. Step 5: Solve for x
   x = 34,060,094,485,181,080,010,752/84,830,071,370
6. Step 6: Final answer
   x = 401,509,676,169.23