Finding the Third Proportional to 536,206.50 and 829,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   536,206.50 : 829,498.50 = 829,498.50 : x
2. Step 2: Convert to fraction form
   536,206.50/829,498.50 = 829,498.50/x
3. Step 3: Cross multiply
   536,206.50x = 829,498.50 × 829,498.50
4. Step 4: Simplify right side
   536,206.50x = 688,067,761,502.25
5. Step 5: Solve for x
   x = 688,067,761,502.25/536,206.50
6. Step 6: Final answer
   x = 1,283,214.14