Finding the Third Proportional to 52,848 and 109,584

Step by Step Solution

1. Step 1: Write the proportion equation
   52,848 : 109,584 = 109,584 : x
2. Step 2: Convert to fraction form
   52,848/109,584 = 109,584/x
3. Step 3: Cross multiply
   52,848x = 109,584 × 109,584
4. Step 4: Simplify right side
   52,848x = 12,008,653,056
5. Step 5: Solve for x
   x = 12,008,653,056/52,848
6. Step 6: Final answer
   x = 227,230.04