Finding the Third Proportional to 90,205.25 and 142,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,205.25 : 142,827.50 = 142,827.50 : x
2. Step 2: Convert to fraction form
   90,205.25/142,827.50 = 142,827.50/x
3. Step 3: Cross multiply
   90,205.25x = 142,827.50 × 142,827.50
4. Step 4: Simplify right side
   90,205.25x = 20,399,694,756.25
5. Step 5: Solve for x
   x = 20,399,694,756.25/90,205.25
6. Step 6: Final answer
   x = 226,147.53