Finding the Third Proportional to 71,290 and 156,188

Step by Step Solution

1. Step 1: Write the proportion equation
   71,290 : 156,188 = 156,188 : x
2. Step 2: Convert to fraction form
   71,290/156,188 = 156,188/x
3. Step 3: Cross multiply
   71,290x = 156,188 × 156,188
4. Step 4: Simplify right side
   71,290x = 24,394,691,344
5. Step 5: Solve for x
   x = 24,394,691,344/71,290
6. Step 6: Final answer
   x = 342,189.53