Finding the Third Proportional to 54,156 and 83,692

Step by Step Solution

1. Step 1: Write the proportion equation
   54,156 : 83,692 = 83,692 : x
2. Step 2: Convert to fraction form
   54,156/83,692 = 83,692/x
3. Step 3: Cross multiply
   54,156x = 83,692 × 83,692
4. Step 4: Simplify right side
   54,156x = 7,004,350,864
5. Step 5: Solve for x
   x = 7,004,350,864/54,156
6. Step 6: Final answer
   x = 129,336.56