Finding the Third Proportional to 35,784 and 78,648

Step by Step Solution

1. Step 1: Write the proportion equation
   35,784 : 78,648 = 78,648 : x
2. Step 2: Convert to fraction form
   35,784/78,648 = 78,648/x
3. Step 3: Cross multiply
   35,784x = 78,648 × 78,648
4. Step 4: Simplify right side
   35,784x = 6,185,507,904
5. Step 5: Solve for x
   x = 6,185,507,904/35,784
6. Step 6: Final answer
   x = 172,856.80