Finding the Third Proportional to 90,938.25 and 214,366.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,938.25 : 214,366.50 = 214,366.50 : x
2. Step 2: Convert to fraction form
   90,938.25/214,366.50 = 214,366.50/x
3. Step 3: Cross multiply
   90,938.25x = 214,366.50 × 214,366.50
4. Step 4: Simplify right side
   90,938.25x = 45,952,996,322.25
5. Step 5: Solve for x
   x = 45,952,996,322.25/90,938.25
6. Step 6: Final answer
   x = 505,320.88