Finding the Third Proportional to 46,786.50 and 102,321

Step by Step Solution

1. Step 1: Write the proportion equation
   46,786.50 : 102,321 = 102,321 : x
2. Step 2: Convert to fraction form
   46,786.50/102,321 = 102,321/x
3. Step 3: Cross multiply
   46,786.50x = 102,321 × 102,321
4. Step 4: Simplify right side
   46,786.50x = 10,469,587,041
5. Step 5: Solve for x
   x = 10,469,587,041/46,786.50
6. Step 6: Final answer
   x = 223,773.67