Finding the Third Proportional to 49,260 and 78,015

Step by Step Solution

1. Step 1: Write the proportion equation
   49,260 : 78,015 = 78,015 : x
2. Step 2: Convert to fraction form
   49,260/78,015 = 78,015/x
3. Step 3: Cross multiply
   49,260x = 78,015 × 78,015
4. Step 4: Simplify right side
   49,260x = 6,086,340,225
5. Step 5: Solve for x
   x = 6,086,340,225/49,260
6. Step 6: Final answer
   x = 123,555.42