Finding the Third Proportional to 49,835 and 83,055

Step by Step Solution

1. Step 1: Write the proportion equation
   49,835 : 83,055 = 83,055 : x
2. Step 2: Convert to fraction form
   49,835/83,055 = 83,055/x
3. Step 3: Cross multiply
   49,835x = 83,055 × 83,055
4. Step 4: Simplify right side
   49,835x = 6,898,133,025
5. Step 5: Solve for x
   x = 6,898,133,025/49,835
6. Step 6: Final answer
   x = 138,419.44