Finding the Third Proportional to 87,623 and 142,371

Step by Step Solution

1. Step 1: Write the proportion equation
   87,623 : 142,371 = 142,371 : x
2. Step 2: Convert to fraction form
   87,623/142,371 = 142,371/x
3. Step 3: Cross multiply
   87,623x = 142,371 × 142,371
4. Step 4: Simplify right side
   87,623x = 20,269,501,641
5. Step 5: Solve for x
   x = 20,269,501,641/87,623
6. Step 6: Final answer
   x = 231,326.27