Finding the Third Proportional to 152,608.50 and 224,345.25

Step by Step Solution

1. Step 1: Write the proportion equation
   152,608.50 : 224,345.25 = 224,345.25 : x
2. Step 2: Convert to fraction form
   152,608.50/224,345.25 = 224,345.25/x
3. Step 3: Cross multiply
   152,608.50x = 224,345.25 × 224,345.25
4. Step 4: Simplify right side
   152,608.50x = 50,330,791,197.56
5. Step 5: Solve for x
   x = 50,330,791,197.56/152,608.50
6. Step 6: Final answer
   x = 329,803.33