Finding the Third Proportional to 49,538 and 75,254

Step by Step Solution

1. Step 1: Write the proportion equation
   49,538 : 75,254 = 75,254 : x
2. Step 2: Convert to fraction form
   49,538/75,254 = 75,254/x
3. Step 3: Cross multiply
   49,538x = 75,254 × 75,254
4. Step 4: Simplify right side
   49,538x = 5,663,164,516
5. Step 5: Solve for x
   x = 5,663,164,516/49,538
6. Step 6: Final answer
   x = 114,319.60