Finding the Third Proportional to 111,641 and 156,159

Step by Step Solution

1. Step 1: Write the proportion equation
   111,641 : 156,159 = 156,159 : x
2. Step 2: Convert to fraction form
   111,641/156,159 = 156,159/x
3. Step 3: Cross multiply
   111,641x = 156,159 × 156,159
4. Step 4: Simplify right side
   111,641x = 24,385,633,281
5. Step 5: Solve for x
   x = 24,385,633,281/111,641
6. Step 6: Final answer
   x = 218,429.01