Finding the Third Proportional to 132,978 and 288,108

Step by Step Solution

1. Step 1: Write the proportion equation
   132,978 : 288,108 = 288,108 : x
2. Step 2: Convert to fraction form
   132,978/288,108 = 288,108/x
3. Step 3: Cross multiply
   132,978x = 288,108 × 288,108
4. Step 4: Simplify right side
   132,978x = 83,006,219,664
5. Step 5: Solve for x
   x = 83,006,219,664/132,978
6. Step 6: Final answer
   x = 624,210.17