Finding the Third Proportional to 565,123.50 and 826,771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   565,123.50 : 826,771.50 = 826,771.50 : x
2. Step 2: Convert to fraction form
   565,123.50/826,771.50 = 826,771.50/x
3. Step 3: Cross multiply
   565,123.50x = 826,771.50 × 826,771.50
4. Step 4: Simplify right side
   565,123.50x = 683,551,113,212.25
5. Step 5: Solve for x
   x = 683,551,113,212.25/565,123.50
6. Step 6: Final answer
   x = 1,209,560.59