Finding the Third Proportional to 341,599.50 and 510,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   341,599.50 : 510,514.50 = 510,514.50 : x
2. Step 2: Convert to fraction form
   341,599.50/510,514.50 = 510,514.50/x
3. Step 3: Cross multiply
   341,599.50x = 510,514.50 × 510,514.50
4. Step 4: Simplify right side
   341,599.50x = 260,625,054,710.25
5. Step 5: Solve for x
   x = 260,625,054,710.25/341,599.50
6. Step 6: Final answer
   x = 762,955.02