Finding the Third Proportional to 146,254,404,017 and 205,958,429,517

Step by Step Solution

1. Step 1: Write the proportion equation
   146,254,404,017 : 205,958,429,517 = 205,958,429,517 : x
2. Step 2: Convert to fraction form
   146,254,404,017/205,958,429,517 = 205,958,429,517/x
3. Step 3: Cross multiply
   146,254,404,017x = 205,958,429,517 × 205,958,429,517
4. Step 4: Simplify right side
   146,254,404,017x = 42,418,874,689,109,060,747,264
5. Step 5: Solve for x
   x = 42,418,874,689,109,060,747,264/146,254,404,017
6. Step 6: Final answer
   x = 290,034,853,816.63