Finding the Third Proportional to 52,427 and 109,714

Step by Step Solution

1. Step 1: Write the proportion equation
   52,427 : 109,714 = 109,714 : x
2. Step 2: Convert to fraction form
   52,427/109,714 = 109,714/x
3. Step 3: Cross multiply
   52,427x = 109,714 × 109,714
4. Step 4: Simplify right side
   52,427x = 12,037,161,796
5. Step 5: Solve for x
   x = 12,037,161,796/52,427
6. Step 6: Final answer
   x = 229,598.52