Finding the Third Proportional to 109,382 and 156,414

Step by Step Solution

1. Step 1: Write the proportion equation
   109,382 : 156,414 = 156,414 : x
2. Step 2: Convert to fraction form
   109,382/156,414 = 156,414/x
3. Step 3: Cross multiply
   109,382x = 156,414 × 156,414
4. Step 4: Simplify right side
   109,382x = 24,465,339,396
5. Step 5: Solve for x
   x = 24,465,339,396/109,382
6. Step 6: Final answer
   x = 223,668.79