Finding the Third Proportional to 146,254,404,021 and 205,958,429,523

Step by Step Solution

1. Step 1: Write the proportion equation
   146,254,404,021 : 205,958,429,523 = 205,958,429,523 : x
2. Step 2: Convert to fraction form
   146,254,404,021/205,958,429,523 = 205,958,429,523/x
3. Step 3: Cross multiply
   146,254,404,021x = 205,958,429,523 × 205,958,429,523
4. Step 4: Simplify right side
   146,254,404,021x = 42,418,874,691,580,554,379,264
5. Step 5: Solve for x
   x = 42,418,874,691,580,554,379,264/146,254,404,021
6. Step 6: Final answer
   x = 290,034,853,825.60