Finding the Third Proportional to 52,824 and 80,210

Step by Step Solution

1. Step 1: Write the proportion equation
   52,824 : 80,210 = 80,210 : x
2. Step 2: Convert to fraction form
   52,824/80,210 = 80,210/x
3. Step 3: Cross multiply
   52,824x = 80,210 × 80,210
4. Step 4: Simplify right side
   52,824x = 6,433,644,100
5. Step 5: Solve for x
   x = 6,433,644,100/52,824
6. Step 6: Final answer
   x = 121,793.96