Finding the Third Proportional to 111,842 and 156,771

Step by Step Solution

1. Step 1: Write the proportion equation
   111,842 : 156,771 = 156,771 : x
2. Step 2: Convert to fraction form
   111,842/156,771 = 156,771/x
3. Step 3: Cross multiply
   111,842x = 156,771 × 156,771
4. Step 4: Simplify right side
   111,842x = 24,577,146,441
5. Step 5: Solve for x
   x = 24,577,146,441/111,842
6. Step 6: Final answer
   x = 219,748.81