Finding the Third Proportional to 71,914 and 156,805

Step by Step Solution

1. Step 1: Write the proportion equation
   71,914 : 156,805 = 156,805 : x
2. Step 2: Convert to fraction form
   71,914/156,805 = 156,805/x
3. Step 3: Cross multiply
   71,914x = 156,805 × 156,805
4. Step 4: Simplify right side
   71,914x = 24,587,808,025
5. Step 5: Solve for x
   x = 24,587,808,025/71,914
6. Step 6: Final answer
   x = 341,905.72