Finding the Third Proportional to 52,308 and 80,424

Step by Step Solution

1. Step 1: Write the proportion equation
   52,308 : 80,424 = 80,424 : x
2. Step 2: Convert to fraction form
   52,308/80,424 = 80,424/x
3. Step 3: Cross multiply
   52,308x = 80,424 × 80,424
4. Step 4: Simplify right side
   52,308x = 6,468,019,776
5. Step 5: Solve for x
   x = 6,468,019,776/52,308
6. Step 6: Final answer
   x = 123,652.59