Finding the Third Proportional to 146,254,404,023 and 205,958,429,526

Step by Step Solution

1. Step 1: Write the proportion equation
   146,254,404,023 : 205,958,429,526 = 205,958,429,526 : x
2. Step 2: Convert to fraction form
   146,254,404,023/205,958,429,526 = 205,958,429,526/x
3. Step 3: Cross multiply
   146,254,404,023x = 205,958,429,526 × 205,958,429,526
4. Step 4: Simplify right side
   146,254,404,023x = 42,418,874,692,816,305,389,568
5. Step 5: Solve for x
   x = 42,418,874,692,816,305,389,568/146,254,404,023
6. Step 6: Final answer
   x = 290,034,853,830.08