Finding the Third Proportional to 56,840 and 89,165

Step by Step Solution

1. Step 1: Write the proportion equation
   56,840 : 89,165 = 89,165 : x
2. Step 2: Convert to fraction form
   56,840/89,165 = 89,165/x
3. Step 3: Cross multiply
   56,840x = 89,165 × 89,165
4. Step 4: Simplify right side
   56,840x = 7,950,397,225
5. Step 5: Solve for x
   x = 7,950,397,225/56,840
6. Step 6: Final answer
   x = 139,873.28