Finding the Third Proportional to 252,978 and 537,108

Step by Step Solution

1. Step 1: Write the proportion equation
   252,978 : 537,108 = 537,108 : x
2. Step 2: Convert to fraction form
   252,978/537,108 = 537,108/x
3. Step 3: Cross multiply
   252,978x = 537,108 × 537,108
4. Step 4: Simplify right side
   252,978x = 288,485,003,664
5. Step 5: Solve for x
   x = 288,485,003,664/252,978
6. Step 6: Final answer
   x = 1,140,356.09