Finding the Third Proportional to 50,310.50 and 116,377

Step by Step Solution

1. Step 1: Write the proportion equation
   50,310.50 : 116,377 = 116,377 : x
2. Step 2: Convert to fraction form
   50,310.50/116,377 = 116,377/x
3. Step 3: Cross multiply
   50,310.50x = 116,377 × 116,377
4. Step 4: Simplify right side
   50,310.50x = 13,543,606,129
5. Step 5: Solve for x
   x = 13,543,606,129/50,310.50
6. Step 6: Final answer
   x = 269,200.39