Finding the Third Proportional to 582,194.50 and 925,780

Step by Step Solution

1. Step 1: Write the proportion equation
   582,194.50 : 925,780 = 925,780 : x
2. Step 2: Convert to fraction form
   582,194.50/925,780 = 925,780/x
3. Step 3: Cross multiply
   582,194.50x = 925,780 × 925,780
4. Step 4: Simplify right side
   582,194.50x = 857,068,608,400
5. Step 5: Solve for x
   x = 857,068,608,400/582,194.50
6. Step 6: Final answer
   x = 1,472,134.50