Finding the Third Proportional to 71,404 and 156,822

Step by Step Solution

1. Step 1: Write the proportion equation
   71,404 : 156,822 = 156,822 : x
2. Step 2: Convert to fraction form
   71,404/156,822 = 156,822/x
3. Step 3: Cross multiply
   71,404x = 156,822 × 156,822
4. Step 4: Simplify right side
   71,404x = 24,593,139,684
5. Step 5: Solve for x
   x = 24,593,139,684/71,404
6. Step 6: Final answer
   x = 344,422.44