Finding the Third Proportional to 49,285 and 76,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,285 : 76,456.50 = 76,456.50 : x
2. Step 2: Convert to fraction form
   49,285/76,456.50 = 76,456.50/x
3. Step 3: Cross multiply
   49,285x = 76,456.50 × 76,456.50
4. Step 4: Simplify right side
   49,285x = 5,845,596,392.25
5. Step 5: Solve for x
   x = 5,845,596,392.25/49,285
6. Step 6: Final answer
   x = 118,608.02