Finding the Third Proportional to 378,432 and 569,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,432 : 569,227.50 = 569,227.50 : x
2. Step 2: Convert to fraction form
   378,432/569,227.50 = 569,227.50/x
3. Step 3: Cross multiply
   378,432x = 569,227.50 × 569,227.50
4. Step 4: Simplify right side
   378,432x = 324,019,946,756.25
5. Step 5: Solve for x
   x = 324,019,946,756.25/378,432
6. Step 6: Final answer
   x = 856,217.09