Finding the Third Proportional to 111,591 and 156,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,591 : 156,082.50 = 156,082.50 : x
2. Step 2: Convert to fraction form
   111,591/156,082.50 = 156,082.50/x
3. Step 3: Cross multiply
   111,591x = 156,082.50 × 156,082.50
4. Step 4: Simplify right side
   111,591x = 24,361,746,806.25
5. Step 5: Solve for x
   x = 24,361,746,806.25/111,591
6. Step 6: Final answer
   x = 218,312.83