Finding the Third Proportional to 380,298 and 584,593.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380,298 : 584,593.50 = 584,593.50 : x
2. Step 2: Convert to fraction form
   380,298/584,593.50 = 584,593.50/x
3. Step 3: Cross multiply
   380,298x = 584,593.50 × 584,593.50
4. Step 4: Simplify right side
   380,298x = 341,749,560,242.25
5. Step 5: Solve for x
   x = 341,749,560,242.25/380,298
6. Step 6: Final answer
   x = 898,636.23