Finding the Third Proportional to 111,609 and 156,114

Step by Step Solution

1. Step 1: Write the proportion equation
   111,609 : 156,114 = 156,114 : x
2. Step 2: Convert to fraction form
   111,609/156,114 = 156,114/x
3. Step 3: Cross multiply
   111,609x = 156,114 × 156,114
4. Step 4: Simplify right side
   111,609x = 24,371,580,996
5. Step 5: Solve for x
   x = 24,371,580,996/111,609
6. Step 6: Final answer
   x = 218,365.73