Finding the Third Proportional to 380,967 and 569,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380,967 : 569,581.50 = 569,581.50 : x
2. Step 2: Convert to fraction form
   380,967/569,581.50 = 569,581.50/x
3. Step 3: Cross multiply
   380,967x = 569,581.50 × 569,581.50
4. Step 4: Simplify right side
   380,967x = 324,423,085,142.25
5. Step 5: Solve for x
   x = 324,423,085,142.25/380,967
6. Step 6: Final answer
   x = 851,577.92