Finding the Third Proportional to 49,260 and 78,014

Step by Step Solution

1. Step 1: Write the proportion equation
   49,260 : 78,014 = 78,014 : x
2. Step 2: Convert to fraction form
   49,260/78,014 = 78,014/x
3. Step 3: Cross multiply
   49,260x = 78,014 × 78,014
4. Step 4: Simplify right side
   49,260x = 6,086,184,196
5. Step 5: Solve for x
   x = 6,086,184,196/49,260
6. Step 6: Final answer
   x = 123,552.26