Finding the Third Proportional to 49,257 and 78,009

Step by Step Solution

1. Step 1: Write the proportion equation
   49,257 : 78,009 = 78,009 : x
2. Step 2: Convert to fraction form
   49,257/78,009 = 78,009/x
3. Step 3: Cross multiply
   49,257x = 78,009 × 78,009
4. Step 4: Simplify right side
   49,257x = 6,085,404,081
5. Step 5: Solve for x
   x = 6,085,404,081/49,257
6. Step 6: Final answer
   x = 123,543.94