Finding the Third Proportional to 521,181 and 783,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   521,181 : 783,022.50 = 783,022.50 : x
2. Step 2: Convert to fraction form
   521,181/783,022.50 = 783,022.50/x
3. Step 3: Cross multiply
   521,181x = 783,022.50 × 783,022.50
4. Step 4: Simplify right side
   521,181x = 613,124,235,506.25
5. Step 5: Solve for x
   x = 613,124,235,506.25/521,181
6. Step 6: Final answer
   x = 1,176,413.25