Finding the Third Proportional to 287,056.50 and 410,897.25

Step by Step Solution

1. Step 1: Write the proportion equation
   287,056.50 : 410,897.25 = 410,897.25 : x
2. Step 2: Convert to fraction form
   287,056.50/410,897.25 = 410,897.25/x
3. Step 3: Cross multiply
   287,056.50x = 410,897.25 × 410,897.25
4. Step 4: Simplify right side
   287,056.50x = 168,836,550,057.56
5. Step 5: Solve for x
   x = 168,836,550,057.56/287,056.50
6. Step 6: Final answer
   x = 588,164.87