Finding the Third Proportional to 147,904 and 231,708

Step by Step Solution

1. Step 1: Write the proportion equation
   147,904 : 231,708 = 231,708 : x
2. Step 2: Convert to fraction form
   147,904/231,708 = 231,708/x
3. Step 3: Cross multiply
   147,904x = 231,708 × 231,708
4. Step 4: Simplify right side
   147,904x = 53,688,597,264
5. Step 5: Solve for x
   x = 53,688,597,264/147,904
6. Step 6: Final answer
   x = 362,996.25