Finding the Third Proportional to 71,834 and 156,724

Step by Step Solution

1. Step 1: Write the proportion equation
   71,834 : 156,724 = 156,724 : x
2. Step 2: Convert to fraction form
   71,834/156,724 = 156,724/x
3. Step 3: Cross multiply
   71,834x = 156,724 × 156,724
4. Step 4: Simplify right side
   71,834x = 24,562,412,176
5. Step 5: Solve for x
   x = 24,562,412,176/71,834
6. Step 6: Final answer
   x = 341,932.96