Finding the Third Proportional to 111,884 and 156,431

Step by Step Solution

1. Step 1: Write the proportion equation
   111,884 : 156,431 = 156,431 : x
2. Step 2: Convert to fraction form
   111,884/156,431 = 156,431/x
3. Step 3: Cross multiply
   111,884x = 156,431 × 156,431
4. Step 4: Simplify right side
   111,884x = 24,470,657,761
5. Step 5: Solve for x
   x = 24,470,657,761/111,884
6. Step 6: Final answer
   x = 218,714.54