Finding the Third Proportional to 341,590.50 and 510,504

Step by Step Solution

1. Step 1: Write the proportion equation
   341,590.50 : 510,504 = 510,504 : x
2. Step 2: Convert to fraction form
   341,590.50/510,504 = 510,504/x
3. Step 3: Cross multiply
   341,590.50x = 510,504 × 510,504
4. Step 4: Simplify right side
   341,590.50x = 260,614,334,016
5. Step 5: Solve for x
   x = 260,614,334,016/341,590.50
6. Step 6: Final answer
   x = 762,943.74