Finding the Third Proportional to 564,192 and 824,667.75

Step by Step Solution

1. Step 1: Write the proportion equation
   564,192 : 824,667.75 = 824,667.75 : x
2. Step 2: Convert to fraction form
   564,192/824,667.75 = 824,667.75/x
3. Step 3: Cross multiply
   564,192x = 824,667.75 × 824,667.75
4. Step 4: Simplify right side
   564,192x = 680,076,897,890.06
5. Step 5: Solve for x
   x = 680,076,897,890.06/564,192
6. Step 6: Final answer
   x = 1,205,399.75