Finding the Third Proportional to 111,563 and 156,400

Step by Step Solution

1. Step 1: Write the proportion equation
   111,563 : 156,400 = 156,400 : x
2. Step 2: Convert to fraction form
   111,563/156,400 = 156,400/x
3. Step 3: Cross multiply
   111,563x = 156,400 × 156,400
4. Step 4: Simplify right side
   111,563x = 24,460,960,000
5. Step 5: Solve for x
   x = 24,460,960,000/111,563
6. Step 6: Final answer
   x = 219,256.92