Finding the Third Proportional to 582,085.50 and 782,214

Step by Step Solution

1. Step 1: Write the proportion equation
   582,085.50 : 782,214 = 782,214 : x
2. Step 2: Convert to fraction form
   582,085.50/782,214 = 782,214/x
3. Step 3: Cross multiply
   582,085.50x = 782,214 × 782,214
4. Step 4: Simplify right side
   582,085.50x = 611,858,741,796
5. Step 5: Solve for x
   x = 611,858,741,796/582,085.50
6. Step 6: Final answer
   x = 1,051,149.26