Finding the Third Proportional to 111,644 and 156,161

Step by Step Solution

1. Step 1: Write the proportion equation
   111,644 : 156,161 = 156,161 : x
2. Step 2: Convert to fraction form
   111,644/156,161 = 156,161/x
3. Step 3: Cross multiply
   111,644x = 156,161 × 156,161
4. Step 4: Simplify right side
   111,644x = 24,386,257,921
5. Step 5: Solve for x
   x = 24,386,257,921/111,644
6. Step 6: Final answer
   x = 218,428.74