Finding the Third Proportional to 146,196 and 314,952

Step by Step Solution

1. Step 1: Write the proportion equation
   146,196 : 314,952 = 314,952 : x
2. Step 2: Convert to fraction form
   146,196/314,952 = 314,952/x
3. Step 3: Cross multiply
   146,196x = 314,952 × 314,952
4. Step 4: Simplify right side
   146,196x = 99,194,762,304
5. Step 5: Solve for x
   x = 99,194,762,304/146,196
6. Step 6: Final answer
   x = 678,505.31