Finding the Third Proportional to 152,793 and 229,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,793 : 229,477.50 = 229,477.50 : x
2. Step 2: Convert to fraction form
   152,793/229,477.50 = 229,477.50/x
3. Step 3: Cross multiply
   152,793x = 229,477.50 × 229,477.50
4. Step 4: Simplify right side
   152,793x = 52,659,923,006.25
5. Step 5: Solve for x
   x = 52,659,923,006.25/152,793
6. Step 6: Final answer
   x = 344,648.79