Finding the Third Proportional to 82,527 and 123,482

Step by Step Solution

1. Step 1: Write the proportion equation
   82,527 : 123,482 = 123,482 : x
2. Step 2: Convert to fraction form
   82,527/123,482 = 123,482/x
3. Step 3: Cross multiply
   82,527x = 123,482 × 123,482
4. Step 4: Simplify right side
   82,527x = 15,247,804,324
5. Step 5: Solve for x
   x = 15,247,804,324/82,527
6. Step 6: Final answer
   x = 184,761.40