Finding the Third Proportional to 240,770 and 322,111

Step by Step Solution

1. Step 1: Write the proportion equation
   240,770 : 322,111 = 322,111 : x
2. Step 2: Convert to fraction form
   240,770/322,111 = 322,111/x
3. Step 3: Cross multiply
   240,770x = 322,111 × 322,111
4. Step 4: Simplify right side
   240,770x = 103,755,496,321
5. Step 5: Solve for x
   x = 103,755,496,321/240,770
6. Step 6: Final answer
   x = 430,931.99