Finding the Third Proportional to 111,886 and 156,434

Step by Step Solution

1. Step 1: Write the proportion equation
   111,886 : 156,434 = 156,434 : x
2. Step 2: Convert to fraction form
   111,886/156,434 = 156,434/x
3. Step 3: Cross multiply
   111,886x = 156,434 × 156,434
4. Step 4: Simplify right side
   111,886x = 24,471,596,356
5. Step 5: Solve for x
   x = 24,471,596,356/111,886
6. Step 6: Final answer
   x = 218,719.02