Finding the Third Proportional to 49,832 and 77,210

Step by Step Solution

1. Step 1: Write the proportion equation
   49,832 : 77,210 = 77,210 : x
2. Step 2: Convert to fraction form
   49,832/77,210 = 77,210/x
3. Step 3: Cross multiply
   49,832x = 77,210 × 77,210
4. Step 4: Simplify right side
   49,832x = 5,961,384,100
5. Step 5: Solve for x
   x = 5,961,384,100/49,832
6. Step 6: Final answer
   x = 119,629.64