Finding the Third Proportional to 49,882 and 109,154

Step by Step Solution

1. Step 1: Write the proportion equation
   49,882 : 109,154 = 109,154 : x
2. Step 2: Convert to fraction form
   49,882/109,154 = 109,154/x
3. Step 3: Cross multiply
   49,882x = 109,154 × 109,154
4. Step 4: Simplify right side
   49,882x = 11,914,595,716
5. Step 5: Solve for x
   x = 11,914,595,716/49,882
6. Step 6: Final answer
   x = 238,855.61