Finding the Third Proportional to 564,195 and 824,671.50

Step by Step Solution

1. Step 1: Write the proportion equation
   564,195 : 824,671.50 = 824,671.50 : x
2. Step 2: Convert to fraction form
   564,195/824,671.50 = 824,671.50/x
3. Step 3: Cross multiply
   564,195x = 824,671.50 × 824,671.50
4. Step 4: Simplify right side
   564,195x = 680,083,082,912.25
5. Step 5: Solve for x
   x = 680,083,082,912.25/564,195
6. Step 6: Final answer
   x = 1,205,404.31