Finding the Third Proportional to 64,164 and 86,406

Step by Step Solution

1. Step 1: Write the proportion equation
   64,164 : 86,406 = 86,406 : x
2. Step 2: Convert to fraction form
   64,164/86,406 = 86,406/x
3. Step 3: Cross multiply
   64,164x = 86,406 × 86,406
4. Step 4: Simplify right side
   64,164x = 7,465,996,836
5. Step 5: Solve for x
   x = 7,465,996,836/64,164
6. Step 6: Final answer
   x = 116,358.03