Finding the Third Proportional to 111,856 and 156,792

Step by Step Solution

1. Step 1: Write the proportion equation
   111,856 : 156,792 = 156,792 : x
2. Step 2: Convert to fraction form
   111,856/156,792 = 156,792/x
3. Step 3: Cross multiply
   111,856x = 156,792 × 156,792
4. Step 4: Simplify right side
   111,856x = 24,583,731,264
5. Step 5: Solve for x
   x = 24,583,731,264/111,856
6. Step 6: Final answer
   x = 219,780.18