Finding the Third Proportional to 52,004 and 101,415.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,004 : 101,415.50 = 101,415.50 : x
2. Step 2: Convert to fraction form
   52,004/101,415.50 = 101,415.50/x
3. Step 3: Cross multiply
   52,004x = 101,415.50 × 101,415.50
4. Step 4: Simplify right side
   52,004x = 10,285,103,640.25
5. Step 5: Solve for x
   x = 10,285,103,640.25/52,004
6. Step 6: Final answer
   x = 197,775.24