Finding the Third Proportional to 334,692 and 509,889.38

Step by Step Solution

1. Step 1: Write the proportion equation
   334,692 : 509,889.38 = 509,889.38 : x
2. Step 2: Convert to fraction form
   334,692/509,889.38 = 509,889.38/x
3. Step 3: Cross multiply
   334,692x = 509,889.38 × 509,889.38
4. Step 4: Simplify right side
   334,692x = 259,987,174,737.89
5. Step 5: Solve for x
   x = 259,987,174,737.89/334,692
6. Step 6: Final answer
   x = 776,795.31