Finding the Third Proportional to 395,289 and 596,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   395,289 : 596,407.50 = 596,407.50 : x
2. Step 2: Convert to fraction form
   395,289/596,407.50 = 596,407.50/x
3. Step 3: Cross multiply
   395,289x = 596,407.50 × 596,407.50
4. Step 4: Simplify right side
   395,289x = 355,701,906,056.25
5. Step 5: Solve for x
   x = 355,701,906,056.25/395,289
6. Step 6: Final answer
   x = 899,852.78