Finding the Third Proportional to 146,196 and 320,311.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,196 : 320,311.50 = 320,311.50 : x
2. Step 2: Convert to fraction form
   146,196/320,311.50 = 320,311.50/x
3. Step 3: Cross multiply
   146,196x = 320,311.50 × 320,311.50
4. Step 4: Simplify right side
   146,196x = 102,599,457,032.25
5. Step 5: Solve for x
   x = 102,599,457,032.25/146,196
6. Step 6: Final answer
   x = 701,793.87