Finding the Third Proportional to 111,729 and 156,287

Step by Step Solution

1. Step 1: Write the proportion equation
   111,729 : 156,287 = 156,287 : x
2. Step 2: Convert to fraction form
   111,729/156,287 = 156,287/x
3. Step 3: Cross multiply
   111,729x = 156,287 × 156,287
4. Step 4: Simplify right side
   111,729x = 24,425,626,369
5. Step 5: Solve for x
   x = 24,425,626,369/111,729
6. Step 6: Final answer
   x = 218,614.92