Finding the Third Proportional to 340,564.50 and 510,846

Step by Step Solution

1. Step 1: Write the proportion equation
   340,564.50 : 510,846 = 510,846 : x
2. Step 2: Convert to fraction form
   340,564.50/510,846 = 510,846/x
3. Step 3: Cross multiply
   340,564.50x = 510,846 × 510,846
4. Step 4: Simplify right side
   340,564.50x = 260,963,635,716
5. Step 5: Solve for x
   x = 260,963,635,716/340,564.50
6. Step 6: Final answer
   x = 766,267.88