Finding the Third Proportional to 141,916 and 213,466

Step by Step Solution

1. Step 1: Write the proportion equation
   141,916 : 213,466 = 213,466 : x
2. Step 2: Convert to fraction form
   141,916/213,466 = 213,466/x
3. Step 3: Cross multiply
   141,916x = 213,466 × 213,466
4. Step 4: Simplify right side
   141,916x = 45,567,733,156
5. Step 5: Solve for x
   x = 45,567,733,156/141,916
6. Step 6: Final answer
   x = 321,089.47