Finding the Third Proportional to 49,758 and 73,177.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,758 : 73,177.50 = 73,177.50 : x
2. Step 2: Convert to fraction form
   49,758/73,177.50 = 73,177.50/x
3. Step 3: Cross multiply
   49,758x = 73,177.50 × 73,177.50
4. Step 4: Simplify right side
   49,758x = 5,354,946,506.25
5. Step 5: Solve for x
   x = 5,354,946,506.25/49,758
6. Step 6: Final answer
   x = 107,619.81