Finding the Third Proportional to 152,508 and 229,884

Step by Step Solution

1. Step 1: Write the proportion equation
   152,508 : 229,884 = 229,884 : x
2. Step 2: Convert to fraction form
   152,508/229,884 = 229,884/x
3. Step 3: Cross multiply
   152,508x = 229,884 × 229,884
4. Step 4: Simplify right side
   152,508x = 52,846,653,456
5. Step 5: Solve for x
   x = 52,846,653,456/152,508
6. Step 6: Final answer
   x = 346,517.25