Finding the Third Proportional to 340,956 and 511,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   340,956 : 511,432.50 = 511,432.50 : x
2. Step 2: Convert to fraction form
   340,956/511,432.50 = 511,432.50/x
3. Step 3: Cross multiply
   340,956x = 511,432.50 × 511,432.50
4. Step 4: Simplify right side
   340,956x = 261,563,202,056.25
5. Step 5: Solve for x
   x = 261,563,202,056.25/340,956
6. Step 6: Final answer
   x = 767,146.50