Finding the Third Proportional to 109,140 and 237,714

Step by Step Solution

1. Step 1: Write the proportion equation
   109,140 : 237,714 = 237,714 : x
2. Step 2: Convert to fraction form
   109,140/237,714 = 237,714/x
3. Step 3: Cross multiply
   109,140x = 237,714 × 237,714
4. Step 4: Simplify right side
   109,140x = 56,507,945,796
5. Step 5: Solve for x
   x = 56,507,945,796/109,140
6. Step 6: Final answer
   x = 517,756.51