Finding the Third Proportional to 90,643.50 and 194,402.25

Step by Step Solution

1. Step 1: Write the proportion equation
   90,643.50 : 194,402.25 = 194,402.25 : x
2. Step 2: Convert to fraction form
   90,643.50/194,402.25 = 194,402.25/x
3. Step 3: Cross multiply
   90,643.50x = 194,402.25 × 194,402.25
4. Step 4: Simplify right side
   90,643.50x = 37,792,234,805.06
5. Step 5: Solve for x
   x = 37,792,234,805.06/90,643.50
6. Step 6: Final answer
   x = 416,932.65