Finding the Third Proportional to 49,643 and 108,034

Step by Step Solution

1. Step 1: Write the proportion equation
   49,643 : 108,034 = 108,034 : x
2. Step 2: Convert to fraction form
   49,643/108,034 = 108,034/x
3. Step 3: Cross multiply
   49,643x = 108,034 × 108,034
4. Step 4: Simplify right side
   49,643x = 11,671,345,156
5. Step 5: Solve for x
   x = 11,671,345,156/49,643
6. Step 6: Final answer
   x = 235,105.56