Finding the Third Proportional to 71,416 and 144,776

Step by Step Solution

1. Step 1: Write the proportion equation
   71,416 : 144,776 = 144,776 : x
2. Step 2: Convert to fraction form
   71,416/144,776 = 144,776/x
3. Step 3: Cross multiply
   71,416x = 144,776 × 144,776
4. Step 4: Simplify right side
   71,416x = 20,960,090,176
5. Step 5: Solve for x
   x = 20,960,090,176/71,416
6. Step 6: Final answer
   x = 293,492.92