Finding the Third Proportional to 41,088 and 88,723.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,088 : 88,723.50 = 88,723.50 : x
2. Step 2: Convert to fraction form
   41,088/88,723.50 = 88,723.50/x
3. Step 3: Cross multiply
   41,088x = 88,723.50 × 88,723.50
4. Step 4: Simplify right side
   41,088x = 7,871,859,452.25
5. Step 5: Solve for x
   x = 7,871,859,452.25/41,088
6. Step 6: Final answer
   x = 191,585.36