Finding the Third Proportional to 61,181 and 86,158

Step by Step Solution

1. Step 1: Write the proportion equation
   61,181 : 86,158 = 86,158 : x
2. Step 2: Convert to fraction form
   61,181/86,158 = 86,158/x
3. Step 3: Cross multiply
   61,181x = 86,158 × 86,158
4. Step 4: Simplify right side
   61,181x = 7,423,200,964
5. Step 5: Solve for x
   x = 7,423,200,964/61,181
6. Step 6: Final answer
   x = 121,331.80