Finding the Third Proportional to 49,627.50 and 117,133.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,627.50 : 117,133.50 = 117,133.50 : x
2. Step 2: Convert to fraction form
   49,627.50/117,133.50 = 117,133.50/x
3. Step 3: Cross multiply
   49,627.50x = 117,133.50 × 117,133.50
4. Step 4: Simplify right side
   49,627.50x = 13,720,256,822.25
5. Step 5: Solve for x
   x = 13,720,256,822.25/49,627.50
6. Step 6: Final answer
   x = 276,464.80