Finding the Third Proportional to 37,766.25 and 88,204.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,766.25 : 88,204.50 = 88,204.50 : x
2. Step 2: Convert to fraction form
   37,766.25/88,204.50 = 88,204.50/x
3. Step 3: Cross multiply
   37,766.25x = 88,204.50 × 88,204.50
4. Step 4: Simplify right side
   37,766.25x = 7,780,033,820.25
5. Step 5: Solve for x
   x = 7,780,033,820.25/37,766.25
6. Step 6: Final answer
   x = 206,004.93