Finding the Third Proportional to 49,146.50 and 75,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,146.50 : 75,152.50 = 75,152.50 : x
2. Step 2: Convert to fraction form
   49,146.50/75,152.50 = 75,152.50/x
3. Step 3: Cross multiply
   49,146.50x = 75,152.50 × 75,152.50
4. Step 4: Simplify right side
   49,146.50x = 5,647,898,256.25
5. Step 5: Solve for x
   x = 5,647,898,256.25/49,146.50
6. Step 6: Final answer
   x = 114,919.64