Finding the Third Proportional to 83,863 and 123,120

Step by Step Solution

1. Step 1: Write the proportion equation
   83,863 : 123,120 = 123,120 : x
2. Step 2: Convert to fraction form
   83,863/123,120 = 123,120/x
3. Step 3: Cross multiply
   83,863x = 123,120 × 123,120
4. Step 4: Simplify right side
   83,863x = 15,158,534,400
5. Step 5: Solve for x
   x = 15,158,534,400/83,863
6. Step 6: Final answer
   x = 180,753.54