Finding the Third Proportional to 49,858 and 74,822

Step by Step Solution

1. Step 1: Write the proportion equation
   49,858 : 74,822 = 74,822 : x
2. Step 2: Convert to fraction form
   49,858/74,822 = 74,822/x
3. Step 3: Cross multiply
   49,858x = 74,822 × 74,822
4. Step 4: Simplify right side
   49,858x = 5,598,331,684
5. Step 5: Solve for x
   x = 5,598,331,684/49,858
6. Step 6: Final answer
   x = 112,285.52