Finding the Third Proportional to 71,385 and 156,892

Step by Step Solution

1. Step 1: Write the proportion equation
   71,385 : 156,892 = 156,892 : x
2. Step 2: Convert to fraction form
   71,385/156,892 = 156,892/x
3. Step 3: Cross multiply
   71,385x = 156,892 × 156,892
4. Step 4: Simplify right side
   71,385x = 24,615,099,664
5. Step 5: Solve for x
   x = 24,615,099,664/71,385
6. Step 6: Final answer
   x = 344,821.74