Finding the Third Proportional to 61,180 and 86,155

Step by Step Solution

1. Step 1: Write the proportion equation
   61,180 : 86,155 = 86,155 : x
2. Step 2: Convert to fraction form
   61,180/86,155 = 86,155/x
3. Step 3: Cross multiply
   61,180x = 86,155 × 86,155
4. Step 4: Simplify right side
   61,180x = 7,422,684,025
5. Step 5: Solve for x
   x = 7,422,684,025/61,180
6. Step 6: Final answer
   x = 121,325.34