Finding the Third Proportional to 67,827 and 144,402

Step by Step Solution

1. Step 1: Write the proportion equation
   67,827 : 144,402 = 144,402 : x
2. Step 2: Convert to fraction form
   67,827/144,402 = 144,402/x
3. Step 3: Cross multiply
   67,827x = 144,402 × 144,402
4. Step 4: Simplify right side
   67,827x = 20,851,937,604
5. Step 5: Solve for x
   x = 20,851,937,604/67,827
6. Step 6: Final answer
   x = 307,428.27