Finding the Third Proportional to 208,822 and 316,150

Step by Step Solution

1. Step 1: Write the proportion equation
   208,822 : 316,150 = 316,150 : x
2. Step 2: Convert to fraction form
   208,822/316,150 = 316,150/x
3. Step 3: Cross multiply
   208,822x = 316,150 × 316,150
4. Step 4: Simplify right side
   208,822x = 99,950,822,500
5. Step 5: Solve for x
   x = 99,950,822,500/208,822
6. Step 6: Final answer
   x = 478,641.25