Finding the Third Proportional to 49,468 and 116,659

Step by Step Solution

1. Step 1: Write the proportion equation
   49,468 : 116,659 = 116,659 : x
2. Step 2: Convert to fraction form
   49,468/116,659 = 116,659/x
3. Step 3: Cross multiply
   49,468x = 116,659 × 116,659
4. Step 4: Simplify right side
   49,468x = 13,609,322,281
5. Step 5: Solve for x
   x = 13,609,322,281/49,468
6. Step 6: Final answer
   x = 275,113.65