Finding the Third Proportional to 359,527.50 and 783,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   359,527.50 : 783,409.50 = 783,409.50 : x
2. Step 2: Convert to fraction form
   359,527.50/783,409.50 = 783,409.50/x
3. Step 3: Cross multiply
   359,527.50x = 783,409.50 × 783,409.50
4. Step 4: Simplify right side
   359,527.50x = 613,730,444,690.25
5. Step 5: Solve for x
   x = 613,730,444,690.25/359,527.50
6. Step 6: Final answer
   x = 1,707,047.29