Finding the Third Proportional to 46,856 and 102,124

Step by Step Solution

1. Step 1: Write the proportion equation
   46,856 : 102,124 = 102,124 : x
2. Step 2: Convert to fraction form
   46,856/102,124 = 102,124/x
3. Step 3: Cross multiply
   46,856x = 102,124 × 102,124
4. Step 4: Simplify right side
   46,856x = 10,429,311,376
5. Step 5: Solve for x
   x = 10,429,311,376/46,856
6. Step 6: Final answer
   x = 222,582.20