Finding the Third Proportional to 147,965 and 231,864

Step by Step Solution

1. Step 1: Write the proportion equation
   147,965 : 231,864 = 231,864 : x
2. Step 2: Convert to fraction form
   147,965/231,864 = 231,864/x
3. Step 3: Cross multiply
   147,965x = 231,864 × 231,864
4. Step 4: Simplify right side
   147,965x = 53,760,914,496
5. Step 5: Solve for x
   x = 53,760,914,496/147,965
6. Step 6: Final answer
   x = 363,335.35