Finding the Third Proportional to 509,769 and 712,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   509,769 : 712,993.50 = 712,993.50 : x
2. Step 2: Convert to fraction form
   509,769/712,993.50 = 712,993.50/x
3. Step 3: Cross multiply
   509,769x = 712,993.50 × 712,993.50
4. Step 4: Simplify right side
   509,769x = 508,359,731,042.25
5. Step 5: Solve for x
   x = 508,359,731,042.25/509,769
6. Step 6: Final answer
   x = 997,235.48