Finding the Third Proportional to 147,920 and 315,488

Step by Step Solution

1. Step 1: Write the proportion equation
   147,920 : 315,488 = 315,488 : x
2. Step 2: Convert to fraction form
   147,920/315,488 = 315,488/x
3. Step 3: Cross multiply
   147,920x = 315,488 × 315,488
4. Step 4: Simplify right side
   147,920x = 99,532,678,144
5. Step 5: Solve for x
   x = 99,532,678,144/147,920
6. Step 6: Final answer
   x = 672,881.82