Finding the Third Proportional to 117,002 and 253,438

Step by Step Solution

1. Step 1: Write the proportion equation
   117,002 : 253,438 = 253,438 : x
2. Step 2: Convert to fraction form
   117,002/253,438 = 253,438/x
3. Step 3: Cross multiply
   117,002x = 253,438 × 253,438
4. Step 4: Simplify right side
   117,002x = 64,230,819,844
5. Step 5: Solve for x
   x = 64,230,819,844/117,002
6. Step 6: Final answer
   x = 548,971.98