Finding the Third Proportional to 49,846 and 76,338

Step by Step Solution

1. Step 1: Write the proportion equation
   49,846 : 76,338 = 76,338 : x
2. Step 2: Convert to fraction form
   49,846/76,338 = 76,338/x
3. Step 3: Cross multiply
   49,846x = 76,338 × 76,338
4. Step 4: Simplify right side
   49,846x = 5,827,490,244
5. Step 5: Solve for x
   x = 5,827,490,244/49,846
6. Step 6: Final answer
   x = 116,909.89