Finding the Third Proportional to 83,865 and 123,123

Step by Step Solution

1. Step 1: Write the proportion equation
   83,865 : 123,123 = 123,123 : x
2. Step 2: Convert to fraction form
   83,865/123,123 = 123,123/x
3. Step 3: Cross multiply
   83,865x = 123,123 × 123,123
4. Step 4: Simplify right side
   83,865x = 15,159,273,129
5. Step 5: Solve for x
   x = 15,159,273,129/83,865
6. Step 6: Final answer
   x = 180,758.04