Finding the Third Proportional to 341,019 and 509,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   341,019 : 509,422.50 = 509,422.50 : x
2. Step 2: Convert to fraction form
   341,019/509,422.50 = 509,422.50/x
3. Step 3: Cross multiply
   341,019x = 509,422.50 × 509,422.50
4. Step 4: Simplify right side
   341,019x = 259,511,283,506.25
5. Step 5: Solve for x
   x = 259,511,283,506.25/341,019
6. Step 6: Final answer
   x = 760,987.76