Finding the Third Proportional to 76,410 and 180,648

Step by Step Solution

1. Step 1: Write the proportion equation
   76,410 : 180,648 = 180,648 : x
2. Step 2: Convert to fraction form
   76,410/180,648 = 180,648/x
3. Step 3: Cross multiply
   76,410x = 180,648 × 180,648
4. Step 4: Simplify right side
   76,410x = 32,633,699,904
5. Step 5: Solve for x
   x = 32,633,699,904/76,410
6. Step 6: Final answer
   x = 427,086.77