Finding the Third Proportional to 105,054 and 242,952

Step by Step Solution

1. Step 1: Write the proportion equation
   105,054 : 242,952 = 242,952 : x
2. Step 2: Convert to fraction form
   105,054/242,952 = 242,952/x
3. Step 3: Cross multiply
   105,054x = 242,952 × 242,952
4. Step 4: Simplify right side
   105,054x = 59,025,674,304
5. Step 5: Solve for x
   x = 59,025,674,304/105,054
6. Step 6: Final answer
   x = 561,860.32