Finding the Third Proportional to 146,310 and 319,404

Step by Step Solution

1. Step 1: Write the proportion equation
   146,310 : 319,404 = 319,404 : x
2. Step 2: Convert to fraction form
   146,310/319,404 = 319,404/x
3. Step 3: Cross multiply
   146,310x = 319,404 × 319,404
4. Step 4: Simplify right side
   146,310x = 102,018,915,216
5. Step 5: Solve for x
   x = 102,018,915,216/146,310
6. Step 6: Final answer
   x = 697,279.17