Finding the Third Proportional to 111,564 and 156,402

Step by Step Solution

1. Step 1: Write the proportion equation
   111,564 : 156,402 = 156,402 : x
2. Step 2: Convert to fraction form
   111,564/156,402 = 156,402/x
3. Step 3: Cross multiply
   111,564x = 156,402 × 156,402
4. Step 4: Simplify right side
   111,564x = 24,461,585,604
5. Step 5: Solve for x
   x = 24,461,585,604/111,564
6. Step 6: Final answer
   x = 219,260.56