Finding the Third Proportional to 378,411 and 569,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,411 : 569,212.50 = 569,212.50 : x
2. Step 2: Convert to fraction form
   378,411/569,212.50 = 569,212.50/x
3. Step 3: Cross multiply
   378,411x = 569,212.50 × 569,212.50
4. Step 4: Simplify right side
   378,411x = 324,002,870,156.25
5. Step 5: Solve for x
   x = 324,002,870,156.25/378,411
6. Step 6: Final answer
   x = 856,219.48