Finding the Third Proportional to 51,732 and 78,648

Step by Step Solution

1. Step 1: Write the proportion equation
   51,732 : 78,648 = 78,648 : x
2. Step 2: Convert to fraction form
   51,732/78,648 = 78,648/x
3. Step 3: Cross multiply
   51,732x = 78,648 × 78,648
4. Step 4: Simplify right side
   51,732x = 6,185,507,904
5. Step 5: Solve for x
   x = 6,185,507,904/51,732
6. Step 6: Final answer
   x = 119,568.31