Finding the Third Proportional to 516,567 and 774,838.50

Step by Step Solution

1. Step 1: Write the proportion equation
   516,567 : 774,838.50 = 774,838.50 : x
2. Step 2: Convert to fraction form
   516,567/774,838.50 = 774,838.50/x
3. Step 3: Cross multiply
   516,567x = 774,838.50 × 774,838.50
4. Step 4: Simplify right side
   516,567x = 600,374,701,082.25
5. Step 5: Solve for x
   x = 600,374,701,082.25/516,567
6. Step 6: Final answer
   x = 1,162,239.75