Finding the Third Proportional to 49,442 and 116,664

Step by Step Solution

1. Step 1: Write the proportion equation
   49,442 : 116,664 = 116,664 : x
2. Step 2: Convert to fraction form
   49,442/116,664 = 116,664/x
3. Step 3: Cross multiply
   49,442x = 116,664 × 116,664
4. Step 4: Simplify right side
   49,442x = 13,610,488,896
5. Step 5: Solve for x
   x = 13,610,488,896/49,442
6. Step 6: Final answer
   x = 275,281.92