Finding the Third Proportional to 55,648 and 86,178

Step by Step Solution

1. Step 1: Write the proportion equation
   55,648 : 86,178 = 86,178 : x
2. Step 2: Convert to fraction form
   55,648/86,178 = 86,178/x
3. Step 3: Cross multiply
   55,648x = 86,178 × 86,178
4. Step 4: Simplify right side
   55,648x = 7,426,647,684
5. Step 5: Solve for x
   x = 7,426,647,684/55,648
6. Step 6: Final answer
   x = 133,457.58