Finding the Third Proportional to 146,244 and 213,774

Step by Step Solution

1. Step 1: Write the proportion equation
   146,244 : 213,774 = 213,774 : x
2. Step 2: Convert to fraction form
   146,244/213,774 = 213,774/x
3. Step 3: Cross multiply
   146,244x = 213,774 × 213,774
4. Step 4: Simplify right side
   146,244x = 45,699,323,076
5. Step 5: Solve for x
   x = 45,699,323,076/146,244
6. Step 6: Final answer
   x = 312,486.82