Finding the Third Proportional to 84,484 and 123,654

Step by Step Solution

1. Step 1: Write the proportion equation
   84,484 : 123,654 = 123,654 : x
2. Step 2: Convert to fraction form
   84,484/123,654 = 123,654/x
3. Step 3: Cross multiply
   84,484x = 123,654 × 123,654
4. Step 4: Simplify right side
   84,484x = 15,290,311,716
5. Step 5: Solve for x
   x = 15,290,311,716/84,484
6. Step 6: Final answer
   x = 180,984.70