Finding the Third Proportional to 55,784 and 120,820

Step by Step Solution

1. Step 1: Write the proportion equation
   55,784 : 120,820 = 120,820 : x
2. Step 2: Convert to fraction form
   55,784/120,820 = 120,820/x
3. Step 3: Cross multiply
   55,784x = 120,820 × 120,820
4. Step 4: Simplify right side
   55,784x = 14,597,472,400
5. Step 5: Solve for x
   x = 14,597,472,400/55,784
6. Step 6: Final answer
   x = 261,678.48