Finding the Third Proportional to 49,642 and 108,210

Step by Step Solution

1. Step 1: Write the proportion equation
   49,642 : 108,210 = 108,210 : x
2. Step 2: Convert to fraction form
   49,642/108,210 = 108,210/x
3. Step 3: Cross multiply
   49,642x = 108,210 × 108,210
4. Step 4: Simplify right side
   49,642x = 11,709,404,100
5. Step 5: Solve for x
   x = 11,709,404,100/49,642
6. Step 6: Final answer
   x = 235,876.96