Finding the Third Proportional to 209,142 and 315,677.25

Step by Step Solution

1. Step 1: Write the proportion equation
   209,142 : 315,677.25 = 315,677.25 : x
2. Step 2: Convert to fraction form
   209,142/315,677.25 = 315,677.25/x
3. Step 3: Cross multiply
   209,142x = 315,677.25 × 315,677.25
4. Step 4: Simplify right side
   209,142x = 99,652,126,167.56
5. Step 5: Solve for x
   x = 99,652,126,167.56/209,142
6. Step 6: Final answer
   x = 476,480.70