Finding the Third Proportional to 152,644.50 and 223,499.25

Step by Step Solution

1. Step 1: Write the proportion equation
   152,644.50 : 223,499.25 = 223,499.25 : x
2. Step 2: Convert to fraction form
   152,644.50/223,499.25 = 223,499.25/x
3. Step 3: Cross multiply
   152,644.50x = 223,499.25 × 223,499.25
4. Step 4: Simplify right side
   152,644.50x = 49,951,914,750.56
5. Step 5: Solve for x
   x = 49,951,914,750.56/152,644.50
6. Step 6: Final answer
   x = 327,243.46