Finding the Third Proportional to 152,791.50 and 229,475.25

Step by Step Solution

1. Step 1: Write the proportion equation
   152,791.50 : 229,475.25 = 229,475.25 : x
2. Step 2: Convert to fraction form
   152,791.50/229,475.25 = 229,475.25/x
3. Step 3: Cross multiply
   152,791.50x = 229,475.25 × 229,475.25
4. Step 4: Simplify right side
   152,791.50x = 52,658,890,362.56
5. Step 5: Solve for x
   x = 52,658,890,362.56/152,791.50
6. Step 6: Final answer
   x = 344,645.42