Finding the Third Proportional to 90,772.50 and 199,464

Step by Step Solution

1. Step 1: Write the proportion equation
   90,772.50 : 199,464 = 199,464 : x
2. Step 2: Convert to fraction form
   90,772.50/199,464 = 199,464/x
3. Step 3: Cross multiply
   90,772.50x = 199,464 × 199,464
4. Step 4: Simplify right side
   90,772.50x = 39,785,887,296
5. Step 5: Solve for x
   x = 39,785,887,296/90,772.50
6. Step 6: Final answer
   x = 438,303.31