Finding the Third Proportional to 51,754 and 78,123

Step by Step Solution

1. Step 1: Write the proportion equation
   51,754 : 78,123 = 78,123 : x
2. Step 2: Convert to fraction form
   51,754/78,123 = 78,123/x
3. Step 3: Cross multiply
   51,754x = 78,123 × 78,123
4. Step 4: Simplify right side
   51,754x = 6,103,203,129
5. Step 5: Solve for x
   x = 6,103,203,129/51,754
6. Step 6: Final answer
   x = 117,927.18