Finding the Third Proportional to 334,134 and 517,846.50

Step by Step Solution

1. Step 1: Write the proportion equation
   334,134 : 517,846.50 = 517,846.50 : x
2. Step 2: Convert to fraction form
   334,134/517,846.50 = 517,846.50/x
3. Step 3: Cross multiply
   334,134x = 517,846.50 × 517,846.50
4. Step 4: Simplify right side
   334,134x = 268,164,997,562.25
5. Step 5: Solve for x
   x = 268,164,997,562.25/334,134
6. Step 6: Final answer
   x = 802,567.23