Finding the Third Proportional to 143,894 and 293,498

Step by Step Solution

1. Step 1: Write the proportion equation
   143,894 : 293,498 = 293,498 : x
2. Step 2: Convert to fraction form
   143,894/293,498 = 293,498/x
3. Step 3: Cross multiply
   143,894x = 293,498 × 293,498
4. Step 4: Simplify right side
   143,894x = 86,141,076,004
5. Step 5: Solve for x
   x = 86,141,076,004/143,894
6. Step 6: Final answer
   x = 598,642.58