Finding the Third Proportional to 146,404 and 321,316

Step by Step Solution

1. Step 1: Write the proportion equation
   146,404 : 321,316 = 321,316 : x
2. Step 2: Convert to fraction form
   146,404/321,316 = 321,316/x
3. Step 3: Cross multiply
   146,404x = 321,316 × 321,316
4. Step 4: Simplify right side
   146,404x = 103,243,971,856
5. Step 5: Solve for x
   x = 103,243,971,856/146,404
6. Step 6: Final answer
   x = 705,199.12