Finding the Third Proportional to 40,008 and 86,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,008 : 86,212.50 = 86,212.50 : x
2. Step 2: Convert to fraction form
   40,008/86,212.50 = 86,212.50/x
3. Step 3: Cross multiply
   40,008x = 86,212.50 × 86,212.50
4. Step 4: Simplify right side
   40,008x = 7,432,595,156.25
5. Step 5: Solve for x
   x = 7,432,595,156.25/40,008
6. Step 6: Final answer
   x = 185,777.72