Finding the Third Proportional to 49,646 and 108,038

Step by Step Solution

1. Step 1: Write the proportion equation
   49,646 : 108,038 = 108,038 : x
2. Step 2: Convert to fraction form
   49,646/108,038 = 108,038/x
3. Step 3: Cross multiply
   49,646x = 108,038 × 108,038
4. Step 4: Simplify right side
   49,646x = 11,672,209,444
5. Step 5: Solve for x
   x = 11,672,209,444/49,646
6. Step 6: Final answer
   x = 235,108.76