Finding the Third Proportional to 52,004 and 85,422

Step by Step Solution

1. Step 1: Write the proportion equation
   52,004 : 85,422 = 85,422 : x
2. Step 2: Convert to fraction form
   52,004/85,422 = 85,422/x
3. Step 3: Cross multiply
   52,004x = 85,422 × 85,422
4. Step 4: Simplify right side
   52,004x = 7,296,918,084
5. Step 5: Solve for x
   x = 7,296,918,084/52,004
6. Step 6: Final answer
   x = 140,314.55