Finding the Third Proportional to 378,354 and 564,250.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,354 : 564,250.50 = 564,250.50 : x
2. Step 2: Convert to fraction form
   378,354/564,250.50 = 564,250.50/x
3. Step 3: Cross multiply
   378,354x = 564,250.50 × 564,250.50
4. Step 4: Simplify right side
   378,354x = 318,378,626,750.25
5. Step 5: Solve for x
   x = 318,378,626,750.25/378,354
6. Step 6: Final answer
   x = 841,483.44