Finding the Third Proportional to 51,102 and 123,654

Step by Step Solution

1. Step 1: Write the proportion equation
   51,102 : 123,654 = 123,654 : x
2. Step 2: Convert to fraction form
   51,102/123,654 = 123,654/x
3. Step 3: Cross multiply
   51,102x = 123,654 × 123,654
4. Step 4: Simplify right side
   51,102x = 15,290,311,716
5. Step 5: Solve for x
   x = 15,290,311,716/51,102
6. Step 6: Final answer
   x = 299,211.61