Finding the Third Proportional to 152,407 and 231,648

Step by Step Solution

1. Step 1: Write the proportion equation
   152,407 : 231,648 = 231,648 : x
2. Step 2: Convert to fraction form
   152,407/231,648 = 231,648/x
3. Step 3: Cross multiply
   152,407x = 231,648 × 231,648
4. Step 4: Simplify right side
   152,407x = 53,660,795,904
5. Step 5: Solve for x
   x = 53,660,795,904/152,407
6. Step 6: Final answer
   x = 352,088.79