Finding the Third Proportional to 109,236,142.16 and 233,967,108.13

Step by Step Solution

1. Step 1: Write the proportion equation
   109,236,142.16 : 233,967,108.13 = 233,967,108.13 : x
2. Step 2: Convert to fraction form
   109,236,142.16/233,967,108.13 = 233,967,108.13/x
3. Step 3: Cross multiply
   109,236,142.16x = 233,967,108.13 × 233,967,108.13
4. Step 4: Simplify right side
   109,236,142.16x = 54,740,607,686,200,384
5. Step 5: Solve for x
   x = 54,740,607,686,200,384/109,236,142.16
6. Step 6: Final answer
   x = 501,121,758.82