Finding the Third Proportional to 81,324 and 123,120

Step by Step Solution

1. Step 1: Write the proportion equation
   81,324 : 123,120 = 123,120 : x
2. Step 2: Convert to fraction form
   81,324/123,120 = 123,120/x
3. Step 3: Cross multiply
   81,324x = 123,120 × 123,120
4. Step 4: Simplify right side
   81,324x = 15,158,534,400
5. Step 5: Solve for x
   x = 15,158,534,400/81,324
6. Step 6: Final answer
   x = 186,396.81