Finding the Third Proportional to 58,306 and 85,164

Step by Step Solution

1. Step 1: Write the proportion equation
   58,306 : 85,164 = 85,164 : x
2. Step 2: Convert to fraction form
   58,306/85,164 = 85,164/x
3. Step 3: Cross multiply
   58,306x = 85,164 × 85,164
4. Step 4: Simplify right side
   58,306x = 7,252,906,896
5. Step 5: Solve for x
   x = 7,252,906,896/58,306
6. Step 6: Final answer
   x = 124,393.83