Finding the Third Proportional to 56,509.50 and 120,516

Step by Step Solution

1. Step 1: Write the proportion equation
   56,509.50 : 120,516 = 120,516 : x
2. Step 2: Convert to fraction form
   56,509.50/120,516 = 120,516/x
3. Step 3: Cross multiply
   56,509.50x = 120,516 × 120,516
4. Step 4: Simplify right side
   56,509.50x = 14,524,106,256
5. Step 5: Solve for x
   x = 14,524,106,256/56,509.50
6. Step 6: Final answer
   x = 257,020.61