Finding the Third Proportional to 147,149 and 233,162

Step by Step Solution

1. Step 1: Write the proportion equation
   147,149 : 233,162 = 233,162 : x
2. Step 2: Convert to fraction form
   147,149/233,162 = 233,162/x
3. Step 3: Cross multiply
   147,149x = 233,162 × 233,162
4. Step 4: Simplify right side
   147,149x = 54,364,518,244
5. Step 5: Solve for x
   x = 54,364,518,244/147,149
6. Step 6: Final answer
   x = 369,452.18