Finding the Third Proportional to 46,682 and 102,434.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,682 : 102,434.50 = 102,434.50 : x
2. Step 2: Convert to fraction form
   46,682/102,434.50 = 102,434.50/x
3. Step 3: Cross multiply
   46,682x = 102,434.50 × 102,434.50
4. Step 4: Simplify right side
   46,682x = 10,492,826,790.25
5. Step 5: Solve for x
   x = 10,492,826,790.25/46,682
6. Step 6: Final answer
   x = 224,772.43