Finding the Third Proportional to 83,151 and 147,834

Step by Step Solution

1. Step 1: Write the proportion equation
   83,151 : 147,834 = 147,834 : x
2. Step 2: Convert to fraction form
   83,151/147,834 = 147,834/x
3. Step 3: Cross multiply
   83,151x = 147,834 × 147,834
4. Step 4: Simplify right side
   83,151x = 21,854,891,556
5. Step 5: Solve for x
   x = 21,854,891,556/83,151
6. Step 6: Final answer
   x = 262,833.78