Finding the Third Proportional to 340,947 and 511,420.50

Step by Step Solution

1. Step 1: Write the proportion equation
   340,947 : 511,420.50 = 511,420.50 : x
2. Step 2: Convert to fraction form
   340,947/511,420.50 = 511,420.50/x
3. Step 3: Cross multiply
   340,947x = 511,420.50 × 511,420.50
4. Step 4: Simplify right side
   340,947x = 261,550,927,820.25
5. Step 5: Solve for x
   x = 261,550,927,820.25/340,947
6. Step 6: Final answer
   x = 767,130.75