Finding the Third Proportional to 49,468 and 116,657

Step by Step Solution

1. Step 1: Write the proportion equation
   49,468 : 116,657 = 116,657 : x
2. Step 2: Convert to fraction form
   49,468/116,657 = 116,657/x
3. Step 3: Cross multiply
   49,468x = 116,657 × 116,657
4. Step 4: Simplify right side
   49,468x = 13,608,855,649
5. Step 5: Solve for x
   x = 13,608,855,649/49,468
6. Step 6: Final answer
   x = 275,104.22