Finding the Third Proportional to 71,624 and 156,086

Step by Step Solution

1. Step 1: Write the proportion equation
   71,624 : 156,086 = 156,086 : x
2. Step 2: Convert to fraction form
   71,624/156,086 = 156,086/x
3. Step 3: Cross multiply
   71,624x = 156,086 × 156,086
4. Step 4: Simplify right side
   71,624x = 24,362,839,396
5. Step 5: Solve for x
   x = 24,362,839,396/71,624
6. Step 6: Final answer
   x = 340,149.10