Finding the Third Proportional to 238,061 and 322,952

Step by Step Solution

1. Step 1: Write the proportion equation
   238,061 : 322,952 = 322,952 : x
2. Step 2: Convert to fraction form
   238,061/322,952 = 322,952/x
3. Step 3: Cross multiply
   238,061x = 322,952 × 322,952
4. Step 4: Simplify right side
   238,061x = 104,297,994,304
5. Step 5: Solve for x
   x = 104,297,994,304/238,061
6. Step 6: Final answer
   x = 438,114.58