Finding the Third Proportional to 55,899 and 82,066

Step by Step Solution

1. Step 1: Write the proportion equation
   55,899 : 82,066 = 82,066 : x
2. Step 2: Convert to fraction form
   55,899/82,066 = 82,066/x
3. Step 3: Cross multiply
   55,899x = 82,066 × 82,066
4. Step 4: Simplify right side
   55,899x = 6,734,828,356
5. Step 5: Solve for x
   x = 6,734,828,356/55,899
6. Step 6: Final answer
   x = 120,482.09