Finding the Third Proportional to 55,784 and 83,800

Step by Step Solution

1. Step 1: Write the proportion equation
   55,784 : 83,800 = 83,800 : x
2. Step 2: Convert to fraction form
   55,784/83,800 = 83,800/x
3. Step 3: Cross multiply
   55,784x = 83,800 × 83,800
4. Step 4: Simplify right side
   55,784x = 7,022,440,000
5. Step 5: Solve for x
   x = 7,022,440,000/55,784
6. Step 6: Final answer
   x = 125,886.28