Finding the Third Proportional to 50,341 and 117,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,341 : 117,572.50 = 117,572.50 : x
2. Step 2: Convert to fraction form
   50,341/117,572.50 = 117,572.50/x
3. Step 3: Cross multiply
   50,341x = 117,572.50 × 117,572.50
4. Step 4: Simplify right side
   50,341x = 13,823,292,756.25
5. Step 5: Solve for x
   x = 13,823,292,756.25/50,341
6. Step 6: Final answer
   x = 274,593.13