Finding the Third Proportional to 334,836 and 510,111

Step by Step Solution

1. Step 1: Write the proportion equation
   334,836 : 510,111 = 510,111 : x
2. Step 2: Convert to fraction form
   334,836/510,111 = 510,111/x
3. Step 3: Cross multiply
   334,836x = 510,111 × 510,111
4. Step 4: Simplify right side
   334,836x = 260,213,232,321
5. Step 5: Solve for x
   x = 260,213,232,321/334,836
6. Step 6: Final answer
   x = 777,136.37