Finding the Third Proportional to 148,537 and 309,314

Step by Step Solution

1. Step 1: Write the proportion equation
   148,537 : 309,314 = 309,314 : x
2. Step 2: Convert to fraction form
   148,537/309,314 = 309,314/x
3. Step 3: Cross multiply
   148,537x = 309,314 × 309,314
4. Step 4: Simplify right side
   148,537x = 95,675,150,596
5. Step 5: Solve for x
   x = 95,675,150,596/148,537
6. Step 6: Final answer
   x = 644,116.62