Finding the Third Proportional to 62,336 and 85,164

Step by Step Solution

1. Step 1: Write the proportion equation
   62,336 : 85,164 = 85,164 : x
2. Step 2: Convert to fraction form
   62,336/85,164 = 85,164/x
3. Step 3: Cross multiply
   62,336x = 85,164 × 85,164
4. Step 4: Simplify right side
   62,336x = 7,252,906,896
5. Step 5: Solve for x
   x = 7,252,906,896/62,336
6. Step 6: Final answer
   x = 116,351.82