Finding the Third Proportional to 49,594 and 101,828

Step by Step Solution

1. Step 1: Write the proportion equation
   49,594 : 101,828 = 101,828 : x
2. Step 2: Convert to fraction form
   49,594/101,828 = 101,828/x
3. Step 3: Cross multiply
   49,594x = 101,828 × 101,828
4. Step 4: Simplify right side
   49,594x = 10,368,941,584
5. Step 5: Solve for x
   x = 10,368,941,584/49,594
6. Step 6: Final answer
   x = 209,076.53