Finding the Third Proportional to 54,340 and 83,123

Step by Step Solution

1. Step 1: Write the proportion equation
   54,340 : 83,123 = 83,123 : x
2. Step 2: Convert to fraction form
   54,340/83,123 = 83,123/x
3. Step 3: Cross multiply
   54,340x = 83,123 × 83,123
4. Step 4: Simplify right side
   54,340x = 6,909,433,129
5. Step 5: Solve for x
   x = 6,909,433,129/54,340
6. Step 6: Final answer
   x = 127,151.88