Finding the Third Proportional to 238,002 and 522,012

Step by Step Solution

1. Step 1: Write the proportion equation
   238,002 : 522,012 = 522,012 : x
2. Step 2: Convert to fraction form
   238,002/522,012 = 522,012/x
3. Step 3: Cross multiply
   238,002x = 522,012 × 522,012
4. Step 4: Simplify right side
   238,002x = 272,496,528,144
5. Step 5: Solve for x
   x = 272,496,528,144/238,002
6. Step 6: Final answer
   x = 1,144,933.77