Finding the Third Proportional to 88,643.25 and 205,002

Step by Step Solution

1. Step 1: Write the proportion equation
   88,643.25 : 205,002 = 205,002 : x
2. Step 2: Convert to fraction form
   88,643.25/205,002 = 205,002/x
3. Step 3: Cross multiply
   88,643.25x = 205,002 × 205,002
4. Step 4: Simplify right side
   88,643.25x = 42,025,820,004
5. Step 5: Solve for x
   x = 42,025,820,004/88,643.25
6. Step 6: Final answer
   x = 474,100.62