Finding the Third Proportional to 56,700 and 120,568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,700 : 120,568.50 = 120,568.50 : x
2. Step 2: Convert to fraction form
   56,700/120,568.50 = 120,568.50/x
3. Step 3: Cross multiply
   56,700x = 120,568.50 × 120,568.50
4. Step 4: Simplify right side
   56,700x = 14,536,763,192.25
5. Step 5: Solve for x
   x = 14,536,763,192.25/56,700
6. Step 6: Final answer
   x = 256,380.30