Finding the Third Proportional to 359,725.50 and 777,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   359,725.50 : 777,085.50 = 777,085.50 : x
2. Step 2: Convert to fraction form
   359,725.50/777,085.50 = 777,085.50/x
3. Step 3: Cross multiply
   359,725.50x = 777,085.50 × 777,085.50
4. Step 4: Simplify right side
   359,725.50x = 603,861,874,310.25
5. Step 5: Solve for x
   x = 603,861,874,310.25/359,725.50
6. Step 6: Final answer
   x = 1,678,674.08