Finding the Third Proportional to 76,086 and 109,596.38

Step by Step Solution

1. Step 1: Write the proportion equation
   76,086 : 109,596.38 = 109,596.38 : x
2. Step 2: Convert to fraction form
   76,086/109,596.38 = 109,596.38/x
3. Step 3: Cross multiply
   76,086x = 109,596.38 × 109,596.38
4. Step 4: Simplify right side
   76,086x = 12,011,365,413.14
5. Step 5: Solve for x
   x = 12,011,365,413.14/76,086
6. Step 6: Final answer
   x = 157,865.64