Finding the Third Proportional to 52,002 and 78,471

Step by Step Solution

1. Step 1: Write the proportion equation
   52,002 : 78,471 = 78,471 : x
2. Step 2: Convert to fraction form
   52,002/78,471 = 78,471/x
3. Step 3: Cross multiply
   52,002x = 78,471 × 78,471
4. Step 4: Simplify right side
   52,002x = 6,157,697,841
5. Step 5: Solve for x
   x = 6,157,697,841/52,002
6. Step 6: Final answer
   x = 118,412.71