Finding the Third Proportional to 111,878 and 156,422

Step by Step Solution

1. Step 1: Write the proportion equation
   111,878 : 156,422 = 156,422 : x
2. Step 2: Convert to fraction form
   111,878/156,422 = 156,422/x
3. Step 3: Cross multiply
   111,878x = 156,422 × 156,422
4. Step 4: Simplify right side
   111,878x = 24,467,842,084
5. Step 5: Solve for x
   x = 24,467,842,084/111,878
6. Step 6: Final answer
   x = 218,701.10