Finding the Third Proportional to 202,866 and 315,780.75

Step by Step Solution

1. Step 1: Write the proportion equation
   202,866 : 315,780.75 = 315,780.75 : x
2. Step 2: Convert to fraction form
   202,866/315,780.75 = 315,780.75/x
3. Step 3: Cross multiply
   202,866x = 315,780.75 × 315,780.75
4. Step 4: Simplify right side
   202,866x = 99,717,482,070.56
5. Step 5: Solve for x
   x = 99,717,482,070.56/202,866
6. Step 6: Final answer
   x = 491,543.59