Finding the Third Proportional to 52,004 and 101,416

Step by Step Solution

1. Step 1: Write the proportion equation
   52,004 : 101,416 = 101,416 : x
2. Step 2: Convert to fraction form
   52,004/101,416 = 101,416/x
3. Step 3: Cross multiply
   52,004x = 101,416 × 101,416
4. Step 4: Simplify right side
   52,004x = 10,285,205,056
5. Step 5: Solve for x
   x = 10,285,205,056/52,004
6. Step 6: Final answer
   x = 197,777.19