Finding the Third Proportional to 49,374 and 100,584

Step by Step Solution

1. Step 1: Write the proportion equation
   49,374 : 100,584 = 100,584 : x
2. Step 2: Convert to fraction form
   49,374/100,584 = 100,584/x
3. Step 3: Cross multiply
   49,374x = 100,584 × 100,584
4. Step 4: Simplify right side
   49,374x = 10,117,141,056
5. Step 5: Solve for x
   x = 10,117,141,056/49,374
6. Step 6: Final answer
   x = 204,908.27