Finding the Third Proportional to 115,494 and 253,056

Step by Step Solution

1. Step 1: Write the proportion equation
   115,494 : 253,056 = 253,056 : x
2. Step 2: Convert to fraction form
   115,494/253,056 = 253,056/x
3. Step 3: Cross multiply
   115,494x = 253,056 × 253,056
4. Step 4: Simplify right side
   115,494x = 64,037,339,136
5. Step 5: Solve for x
   x = 64,037,339,136/115,494
6. Step 6: Final answer
   x = 554,464.64