Finding the Third Proportional to 49,194 and 75,721.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,194 : 75,721.50 = 75,721.50 : x
2. Step 2: Convert to fraction form
   49,194/75,721.50 = 75,721.50/x
3. Step 3: Cross multiply
   49,194x = 75,721.50 × 75,721.50
4. Step 4: Simplify right side
   49,194x = 5,733,745,562.25
5. Step 5: Solve for x
   x = 5,733,745,562.25/49,194
6. Step 6: Final answer
   x = 116,553.76