Finding the Third Proportional to 334,735.50 and 509,970

Step by Step Solution

1. Step 1: Write the proportion equation
   334,735.50 : 509,970 = 509,970 : x
2. Step 2: Convert to fraction form
   334,735.50/509,970 = 509,970/x
3. Step 3: Cross multiply
   334,735.50x = 509,970 × 509,970
4. Step 4: Simplify right side
   334,735.50x = 260,069,400,900
5. Step 5: Solve for x
   x = 260,069,400,900/334,735.50
6. Step 6: Final answer
   x = 776,940.00