Finding the Third Proportional to 55,777 and 83,789

Step by Step Solution

1. Step 1: Write the proportion equation
   55,777 : 83,789 = 83,789 : x
2. Step 2: Convert to fraction form
   55,777/83,789 = 83,789/x
3. Step 3: Cross multiply
   55,777x = 83,789 × 83,789
4. Step 4: Simplify right side
   55,777x = 7,020,596,521
5. Step 5: Solve for x
   x = 7,020,596,521/55,777
6. Step 6: Final answer
   x = 125,869.02