Finding the Third Proportional to 146,194 and 320,308

Step by Step Solution

1. Step 1: Write the proportion equation
   146,194 : 320,308 = 320,308 : x
2. Step 2: Convert to fraction form
   146,194/320,308 = 320,308/x
3. Step 3: Cross multiply
   146,194x = 320,308 × 320,308
4. Step 4: Simplify right side
   146,194x = 102,597,214,864
5. Step 5: Solve for x
   x = 102,597,214,864/146,194
6. Step 6: Final answer
   x = 701,788.14