Finding the Third Proportional to 137,472 and 321,200

Step by Step Solution

1. Step 1: Write the proportion equation
   137,472 : 321,200 = 321,200 : x
2. Step 2: Convert to fraction form
   137,472/321,200 = 321,200/x
3. Step 3: Cross multiply
   137,472x = 321,200 × 321,200
4. Step 4: Simplify right side
   137,472x = 103,169,440,000
5. Step 5: Solve for x
   x = 103,169,440,000/137,472
6. Step 6: Final answer
   x = 750,476.02