Finding the Third Proportional to 146,998 and 233,069

Step by Step Solution

1. Step 1: Write the proportion equation
   146,998 : 233,069 = 233,069 : x
2. Step 2: Convert to fraction form
   146,998/233,069 = 233,069/x
3. Step 3: Cross multiply
   146,998x = 233,069 × 233,069
4. Step 4: Simplify right side
   146,998x = 54,321,158,761
5. Step 5: Solve for x
   x = 54,321,158,761/146,998
6. Step 6: Final answer
   x = 369,536.72