Finding the Third Proportional to 105,312 and 231,972

Step by Step Solution

1. Step 1: Write the proportion equation
   105,312 : 231,972 = 231,972 : x
2. Step 2: Convert to fraction form
   105,312/231,972 = 231,972/x
3. Step 3: Cross multiply
   105,312x = 231,972 × 231,972
4. Step 4: Simplify right side
   105,312x = 53,811,008,784
5. Step 5: Solve for x
   x = 53,811,008,784/105,312
6. Step 6: Final answer
   x = 510,967.49