Finding the Third Proportional to 90,650.25 and 194,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,650.25 : 194,422.50 = 194,422.50 : x
2. Step 2: Convert to fraction form
   90,650.25/194,422.50 = 194,422.50/x
3. Step 3: Cross multiply
   90,650.25x = 194,422.50 × 194,422.50
4. Step 4: Simplify right side
   90,650.25x = 37,800,108,506.25
5. Step 5: Solve for x
   x = 37,800,108,506.25/90,650.25
6. Step 6: Final answer
   x = 416,988.46