Finding the Third Proportional to 148,524 and 309,288

Step by Step Solution

1. Step 1: Write the proportion equation
   148,524 : 309,288 = 309,288 : x
2. Step 2: Convert to fraction form
   148,524/309,288 = 309,288/x
3. Step 3: Cross multiply
   148,524x = 309,288 × 309,288
4. Step 4: Simplify right side
   148,524x = 95,659,066,944
5. Step 5: Solve for x
   x = 95,659,066,944/148,524
6. Step 6: Final answer
   x = 644,064.71