Finding the Third Proportional to 311,872.50 and 683,409

Step by Step Solution

1. Step 1: Write the proportion equation
   311,872.50 : 683,409 = 683,409 : x
2. Step 2: Convert to fraction form
   311,872.50/683,409 = 683,409/x
3. Step 3: Cross multiply
   311,872.50x = 683,409 × 683,409
4. Step 4: Simplify right side
   311,872.50x = 467,047,861,281
5. Step 5: Solve for x
   x = 467,047,861,281/311,872.50
6. Step 6: Final answer
   x = 1,497,560.26