Finding the Third Proportional to 49,834 and 83,055

Step by Step Solution

1. Step 1: Write the proportion equation
   49,834 : 83,055 = 83,055 : x
2. Step 2: Convert to fraction form
   49,834/83,055 = 83,055/x
3. Step 3: Cross multiply
   49,834x = 83,055 × 83,055
4. Step 4: Simplify right side
   49,834x = 6,898,133,025
5. Step 5: Solve for x
   x = 6,898,133,025/49,834
6. Step 6: Final answer
   x = 138,422.22