Finding the Third Proportional to 46,671.50 and 102,414

Step by Step Solution

1. Step 1: Write the proportion equation
   46,671.50 : 102,414 = 102,414 : x
2. Step 2: Convert to fraction form
   46,671.50/102,414 = 102,414/x
3. Step 3: Cross multiply
   46,671.50x = 102,414 × 102,414
4. Step 4: Simplify right side
   46,671.50x = 10,488,627,396
5. Step 5: Solve for x
   x = 10,488,627,396/46,671.50
6. Step 6: Final answer
   x = 224,733.03