Finding the Third Proportional to 202,862.25 and 315,774

Step by Step Solution

1. Step 1: Write the proportion equation
   202,862.25 : 315,774 = 315,774 : x
2. Step 2: Convert to fraction form
   202,862.25/315,774 = 315,774/x
3. Step 3: Cross multiply
   202,862.25x = 315,774 × 315,774
4. Step 4: Simplify right side
   202,862.25x = 99,713,219,076
5. Step 5: Solve for x
   x = 99,713,219,076/202,862.25
6. Step 6: Final answer
   x = 491,531.66