Finding the Third Proportional to 71,898 and 156,345

Step by Step Solution

1. Step 1: Write the proportion equation
   71,898 : 156,345 = 156,345 : x
2. Step 2: Convert to fraction form
   71,898/156,345 = 156,345/x
3. Step 3: Cross multiply
   71,898x = 156,345 × 156,345
4. Step 4: Simplify right side
   71,898x = 24,443,759,025
5. Step 5: Solve for x
   x = 24,443,759,025/71,898
6. Step 6: Final answer
   x = 339,978.29