Finding the Third Proportional to 51,742.50 and 113,645

Step by Step Solution

1. Step 1: Write the proportion equation
   51,742.50 : 113,645 = 113,645 : x
2. Step 2: Convert to fraction form
   51,742.50/113,645 = 113,645/x
3. Step 3: Cross multiply
   51,742.50x = 113,645 × 113,645
4. Step 4: Simplify right side
   51,742.50x = 12,915,186,025
5. Step 5: Solve for x
   x = 12,915,186,025/51,742.50
6. Step 6: Final answer
   x = 249,604.99