Finding the Third Proportional to 89,366 and 186,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,366 : 186,082.50 = 186,082.50 : x
2. Step 2: Convert to fraction form
   89,366/186,082.50 = 186,082.50/x
3. Step 3: Cross multiply
   89,366x = 186,082.50 × 186,082.50
4. Step 4: Simplify right side
   89,366x = 34,626,696,806.25
5. Step 5: Solve for x
   x = 34,626,696,806.25/89,366
6. Step 6: Final answer
   x = 387,470.59