Finding the Third Proportional to 344,817 and 536,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   344,817 : 536,422.50 = 536,422.50 : x
2. Step 2: Convert to fraction form
   344,817/536,422.50 = 536,422.50/x
3. Step 3: Cross multiply
   344,817x = 536,422.50 × 536,422.50
4. Step 4: Simplify right side
   344,817x = 287,749,098,506.25
5. Step 5: Solve for x
   x = 287,749,098,506.25/344,817
6. Step 6: Final answer
   x = 834,498.00