Finding the Third Proportional to 71,827 and 156,314

Step by Step Solution

1. Step 1: Write the proportion equation
   71,827 : 156,314 = 156,314 : x
2. Step 2: Convert to fraction form
   71,827/156,314 = 156,314/x
3. Step 3: Cross multiply
   71,827x = 156,314 × 156,314
4. Step 4: Simplify right side
   71,827x = 24,434,066,596
5. Step 5: Solve for x
   x = 24,434,066,596/71,827
6. Step 6: Final answer
   x = 340,179.41