Finding the Third Proportional to 88,417.50 and 193,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,417.50 : 193,327.50 = 193,327.50 : x
2. Step 2: Convert to fraction form
   88,417.50/193,327.50 = 193,327.50/x
3. Step 3: Cross multiply
   88,417.50x = 193,327.50 × 193,327.50
4. Step 4: Simplify right side
   88,417.50x = 37,375,522,256.25
5. Step 5: Solve for x
   x = 37,375,522,256.25/88,417.50
6. Step 6: Final answer
   x = 422,716.34