Finding the Third Proportional to 40,146.75 and 86,503.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,146.75 : 86,503.50 = 86,503.50 : x
2. Step 2: Convert to fraction form
   40,146.75/86,503.50 = 86,503.50/x
3. Step 3: Cross multiply
   40,146.75x = 86,503.50 × 86,503.50
4. Step 4: Simplify right side
   40,146.75x = 7,482,855,512.25
5. Step 5: Solve for x
   x = 7,482,855,512.25/40,146.75
6. Step 6: Final answer
   x = 186,387.58