Finding the Third Proportional to 334,854 and 510,300

Step by Step Solution

1. Step 1: Write the proportion equation
   334,854 : 510,300 = 510,300 : x
2. Step 2: Convert to fraction form
   334,854/510,300 = 510,300/x
3. Step 3: Cross multiply
   334,854x = 510,300 × 510,300
4. Step 4: Simplify right side
   334,854x = 260,406,090,000
5. Step 5: Solve for x
   x = 260,406,090,000/334,854
6. Step 6: Final answer
   x = 777,670.54