Finding the Third Proportional to 40,158 and 86,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,158 : 86,422.50 = 86,422.50 : x
2. Step 2: Convert to fraction form
   40,158/86,422.50 = 86,422.50/x
3. Step 3: Cross multiply
   40,158x = 86,422.50 × 86,422.50
4. Step 4: Simplify right side
   40,158x = 7,468,848,506.25
5. Step 5: Solve for x
   x = 7,468,848,506.25/40,158
6. Step 6: Final answer
   x = 185,986.57