Finding the Third Proportional to 89,147.50 and 185,765

Step by Step Solution

1. Step 1: Write the proportion equation
   89,147.50 : 185,765 = 185,765 : x
2. Step 2: Convert to fraction form
   89,147.50/185,765 = 185,765/x
3. Step 3: Cross multiply
   89,147.50x = 185,765 × 185,765
4. Step 4: Simplify right side
   89,147.50x = 34,508,635,225
5. Step 5: Solve for x
   x = 34,508,635,225/89,147.50
6. Step 6: Final answer
   x = 387,095.94