Finding the Third Proportional to 143,463 and 293,262

Step by Step Solution

1. Step 1: Write the proportion equation
   143,463 : 293,262 = 293,262 : x
2. Step 2: Convert to fraction form
   143,463/293,262 = 293,262/x
3. Step 3: Cross multiply
   143,463x = 293,262 × 293,262
4. Step 4: Simplify right side
   143,463x = 86,002,600,644
5. Step 5: Solve for x
   x = 86,002,600,644/143,463
6. Step 6: Final answer
   x = 599,475.83