Finding the Third Proportional to 102,105.56 and 152,543.25

Step by Step Solution

1. Step 1: Write the proportion equation
   102,105.56 : 152,543.25 = 152,543.25 : x
2. Step 2: Convert to fraction form
   102,105.56/152,543.25 = 152,543.25/x
3. Step 3: Cross multiply
   102,105.56x = 152,543.25 × 152,543.25
4. Step 4: Simplify right side
   102,105.56x = 23,269,443,120.56
5. Step 5: Solve for x
   x = 23,269,443,120.56/102,105.56
6. Step 6: Final answer
   x = 227,895.94