Finding the Third Proportional to 46,478 and 102,068

Step by Step Solution

1. Step 1: Write the proportion equation
   46,478 : 102,068 = 102,068 : x
2. Step 2: Convert to fraction form
   46,478/102,068 = 102,068/x
3. Step 3: Cross multiply
   46,478x = 102,068 × 102,068
4. Step 4: Simplify right side
   46,478x = 10,417,876,624
5. Step 5: Solve for x
   x = 10,417,876,624/46,478
6. Step 6: Final answer
   x = 224,146.41