Finding the Third Proportional to 114,654 and 237,405

Step by Step Solution

1. Step 1: Write the proportion equation
   114,654 : 237,405 = 237,405 : x
2. Step 2: Convert to fraction form
   114,654/237,405 = 237,405/x
3. Step 3: Cross multiply
   114,654x = 237,405 × 237,405
4. Step 4: Simplify right side
   114,654x = 56,361,134,025
5. Step 5: Solve for x
   x = 56,361,134,025/114,654
6. Step 6: Final answer
   x = 491,575.82