Finding the Third Proportional to 380,466 and 569,659.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380,466 : 569,659.50 = 569,659.50 : x
2. Step 2: Convert to fraction form
   380,466/569,659.50 = 569,659.50/x
3. Step 3: Cross multiply
   380,466x = 569,659.50 × 569,659.50
4. Step 4: Simplify right side
   380,466x = 324,511,945,940.25
5. Step 5: Solve for x
   x = 324,511,945,940.25/380,466
6. Step 6: Final answer
   x = 852,932.84