Finding the Third Proportional to 202,870.50 and 315,786

Step by Step Solution

1. Step 1: Write the proportion equation
   202,870.50 : 315,786 = 315,786 : x
2. Step 2: Convert to fraction form
   202,870.50/315,786 = 315,786/x
3. Step 3: Cross multiply
   202,870.50x = 315,786 × 315,786
4. Step 4: Simplify right side
   202,870.50x = 99,720,797,796
5. Step 5: Solve for x
   x = 99,720,797,796/202,870.50
6. Step 6: Final answer
   x = 491,549.03