Finding the Third Proportional to 40,092 and 86,095.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,092 : 86,095.50 = 86,095.50 : x
2. Step 2: Convert to fraction form
   40,092/86,095.50 = 86,095.50/x
3. Step 3: Cross multiply
   40,092x = 86,095.50 × 86,095.50
4. Step 4: Simplify right side
   40,092x = 7,412,435,120.25
5. Step 5: Solve for x
   x = 7,412,435,120.25/40,092
6. Step 6: Final answer
   x = 184,885.64