Finding the Third Proportional to 209,380.50 and 457,875

Step by Step Solution

1. Step 1: Write the proportion equation
   209,380.50 : 457,875 = 457,875 : x
2. Step 2: Convert to fraction form
   209,380.50/457,875 = 457,875/x
3. Step 3: Cross multiply
   209,380.50x = 457,875 × 457,875
4. Step 4: Simplify right side
   209,380.50x = 209,649,515,625
5. Step 5: Solve for x
   x = 209,649,515,625/209,380.50
6. Step 6: Final answer
   x = 1,001,284.82