Finding the Third Proportional to 111,577 and 156,061

Step by Step Solution

1. Step 1: Write the proportion equation
   111,577 : 156,061 = 156,061 : x
2. Step 2: Convert to fraction form
   111,577/156,061 = 156,061/x
3. Step 3: Cross multiply
   111,577x = 156,061 × 156,061
4. Step 4: Simplify right side
   111,577x = 24,355,035,721
5. Step 5: Solve for x
   x = 24,355,035,721/111,577
6. Step 6: Final answer
   x = 218,280.07