Finding the Third Proportional to 55,434 and 82,704

Step by Step Solution

1. Step 1: Write the proportion equation
   55,434 : 82,704 = 82,704 : x
2. Step 2: Convert to fraction form
   55,434/82,704 = 82,704/x
3. Step 3: Cross multiply
   55,434x = 82,704 × 82,704
4. Step 4: Simplify right side
   55,434x = 6,839,951,616
5. Step 5: Solve for x
   x = 6,839,951,616/55,434
6. Step 6: Final answer
   x = 123,389.10