Finding the Third Proportional to 378,434 and 569,230.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,434 : 569,230.50 = 569,230.50 : x
2. Step 2: Convert to fraction form
   378,434/569,230.50 = 569,230.50/x
3. Step 3: Cross multiply
   378,434x = 569,230.50 × 569,230.50
4. Step 4: Simplify right side
   378,434x = 324,023,362,130.25
5. Step 5: Solve for x
   x = 324,023,362,130.25/378,434
6. Step 6: Final answer
   x = 856,221.59