Finding the Third Proportional to 90,661.50 and 205,141.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,661.50 : 205,141.50 = 205,141.50 : x
2. Step 2: Convert to fraction form
   90,661.50/205,141.50 = 205,141.50/x
3. Step 3: Cross multiply
   90,661.50x = 205,141.50 × 205,141.50
4. Step 4: Simplify right side
   90,661.50x = 42,083,035,022.25
5. Step 5: Solve for x
   x = 42,083,035,022.25/90,661.50
6. Step 6: Final answer
   x = 464,177.57