Finding the Third Proportional to 40,213.50 and 88,357.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,213.50 : 88,357.50 = 88,357.50 : x
2. Step 2: Convert to fraction form
   40,213.50/88,357.50 = 88,357.50/x
3. Step 3: Cross multiply
   40,213.50x = 88,357.50 × 88,357.50
4. Step 4: Simplify right side
   40,213.50x = 7,807,047,806.25
5. Step 5: Solve for x
   x = 7,807,047,806.25/40,213.50
6. Step 6: Final answer
   x = 194,139.97