Finding the Third Proportional to 52,002 and 78,462

Step by Step Solution

1. Step 1: Write the proportion equation
   52,002 : 78,462 = 78,462 : x
2. Step 2: Convert to fraction form
   52,002/78,462 = 78,462/x
3. Step 3: Cross multiply
   52,002x = 78,462 × 78,462
4. Step 4: Simplify right side
   52,002x = 6,156,285,444
5. Step 5: Solve for x
   x = 6,156,285,444/52,002
6. Step 6: Final answer
   x = 118,385.55