Finding the Third Proportional to 105,312 and 233,952

Step by Step Solution

1. Step 1: Write the proportion equation
   105,312 : 233,952 = 233,952 : x
2. Step 2: Convert to fraction form
   105,312/233,952 = 233,952/x
3. Step 3: Cross multiply
   105,312x = 233,952 × 233,952
4. Step 4: Simplify right side
   105,312x = 54,733,538,304
5. Step 5: Solve for x
   x = 54,733,538,304/105,312
6. Step 6: Final answer
   x = 519,727.46