Finding the Third Proportional to 52,820 and 80,204

Step by Step Solution

1. Step 1: Write the proportion equation
   52,820 : 80,204 = 80,204 : x
2. Step 2: Convert to fraction form
   52,820/80,204 = 80,204/x
3. Step 3: Cross multiply
   52,820x = 80,204 × 80,204
4. Step 4: Simplify right side
   52,820x = 6,432,681,616
5. Step 5: Solve for x
   x = 6,432,681,616/52,820
6. Step 6: Final answer
   x = 121,784.96