Finding the Third Proportional to 49,376 and 100,588

Step by Step Solution

1. Step 1: Write the proportion equation
   49,376 : 100,588 = 100,588 : x
2. Step 2: Convert to fraction form
   49,376/100,588 = 100,588/x
3. Step 3: Cross multiply
   49,376x = 100,588 × 100,588
4. Step 4: Simplify right side
   49,376x = 10,117,945,744
5. Step 5: Solve for x
   x = 10,117,945,744/49,376
6. Step 6: Final answer
   x = 204,916.27