Finding the Third Proportional to 82,465 and 123,480

Step by Step Solution

1. Step 1: Write the proportion equation
   82,465 : 123,480 = 123,480 : x
2. Step 2: Convert to fraction form
   82,465/123,480 = 123,480/x
3. Step 3: Cross multiply
   82,465x = 123,480 × 123,480
4. Step 4: Simplify right side
   82,465x = 15,247,310,400
5. Step 5: Solve for x
   x = 15,247,310,400/82,465
6. Step 6: Final answer
   x = 184,894.32