Finding the Third Proportional to 49,314 and 75,874.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,314 : 75,874.50 = 75,874.50 : x
2. Step 2: Convert to fraction form
   49,314/75,874.50 = 75,874.50/x
3. Step 3: Cross multiply
   49,314x = 75,874.50 × 75,874.50
4. Step 4: Simplify right side
   49,314x = 5,756,939,750.25
5. Step 5: Solve for x
   x = 5,756,939,750.25/49,314
6. Step 6: Final answer
   x = 116,740.47