Finding the Third Proportional to 40,581 and 88,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,581 : 88,546.50 = 88,546.50 : x
2. Step 2: Convert to fraction form
   40,581/88,546.50 = 88,546.50/x
3. Step 3: Cross multiply
   40,581x = 88,546.50 × 88,546.50
4. Step 4: Simplify right side
   40,581x = 7,840,482,662.25
5. Step 5: Solve for x
   x = 7,840,482,662.25/40,581
6. Step 6: Final answer
   x = 193,205.75