Finding the Third Proportional to 146,254,404,015 and 205,958,429,514

Step by Step Solution

1. Step 1: Write the proportion equation
   146,254,404,015 : 205,958,429,514 = 205,958,429,514 : x
2. Step 2: Convert to fraction form
   146,254,404,015/205,958,429,514 = 205,958,429,514/x
3. Step 3: Cross multiply
   146,254,404,015x = 205,958,429,514 × 205,958,429,514
4. Step 4: Simplify right side
   146,254,404,015x = 42,418,874,687,873,309,736,960
5. Step 5: Solve for x
   x = 42,418,874,687,873,309,736,960/146,254,404,015
6. Step 6: Final answer
   x = 290,034,853,812.15