Finding the Third Proportional to 143,875 and 293,462

Step by Step Solution

1. Step 1: Write the proportion equation
   143,875 : 293,462 = 293,462 : x
2. Step 2: Convert to fraction form
   143,875/293,462 = 293,462/x
3. Step 3: Cross multiply
   143,875x = 293,462 × 293,462
4. Step 4: Simplify right side
   143,875x = 86,119,945,444
5. Step 5: Solve for x
   x = 86,119,945,444/143,875
6. Step 6: Final answer
   x = 598,574.77