Finding the Third Proportional to 143,851 and 293,414

Step by Step Solution

1. Step 1: Write the proportion equation
   143,851 : 293,414 = 293,414 : x
2. Step 2: Convert to fraction form
   143,851/293,414 = 293,414/x
3. Step 3: Cross multiply
   143,851x = 293,414 × 293,414
4. Step 4: Simplify right side
   143,851x = 86,091,775,396
5. Step 5: Solve for x
   x = 86,091,775,396/143,851
6. Step 6: Final answer
   x = 598,478.81