Finding the Third Proportional to 334,863 and 510,156

Step by Step Solution

1. Step 1: Write the proportion equation
   334,863 : 510,156 = 510,156 : x
2. Step 2: Convert to fraction form
   334,863/510,156 = 510,156/x
3. Step 3: Cross multiply
   334,863x = 510,156 × 510,156
4. Step 4: Simplify right side
   334,863x = 260,259,144,336
5. Step 5: Solve for x
   x = 260,259,144,336/334,863
6. Step 6: Final answer
   x = 777,210.81