Finding the Third Proportional to 117,378 and 253,007

Step by Step Solution

1. Step 1: Write the proportion equation
   117,378 : 253,007 = 253,007 : x
2. Step 2: Convert to fraction form
   117,378/253,007 = 253,007/x
3. Step 3: Cross multiply
   117,378x = 253,007 × 253,007
4. Step 4: Simplify right side
   117,378x = 64,012,542,049
5. Step 5: Solve for x
   x = 64,012,542,049/117,378
6. Step 6: Final answer
   x = 545,353.83