Finding the Third Proportional to 46,746 and 102,060

Step by Step Solution

1. Step 1: Write the proportion equation
   46,746 : 102,060 = 102,060 : x
2. Step 2: Convert to fraction form
   46,746/102,060 = 102,060/x
3. Step 3: Cross multiply
   46,746x = 102,060 × 102,060
4. Step 4: Simplify right side
   46,746x = 10,416,243,600
5. Step 5: Solve for x
   x = 10,416,243,600/46,746
6. Step 6: Final answer
   x = 222,826.42