Finding the Third Proportional to 49,428 and 116,636

Step by Step Solution

1. Step 1: Write the proportion equation
   49,428 : 116,636 = 116,636 : x
2. Step 2: Convert to fraction form
   49,428/116,636 = 116,636/x
3. Step 3: Cross multiply
   49,428x = 116,636 × 116,636
4. Step 4: Simplify right side
   49,428x = 13,603,956,496
5. Step 5: Solve for x
   x = 13,603,956,496/49,428
6. Step 6: Final answer
   x = 275,227.74