Finding the Third Proportional to 546,737 and 769,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   546,737 : 769,583.50 = 769,583.50 : x
2. Step 2: Convert to fraction form
   546,737/769,583.50 = 769,583.50/x
3. Step 3: Cross multiply
   546,737x = 769,583.50 × 769,583.50
4. Step 4: Simplify right side
   546,737x = 592,258,763,472.25
5. Step 5: Solve for x
   x = 592,258,763,472.25/546,737
6. Step 6: Final answer
   x = 1,083,260.81