Finding the Third Proportional to 106,983 and 165,658.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,983 : 165,658.50 = 165,658.50 : x
2. Step 2: Convert to fraction form
   106,983/165,658.50 = 165,658.50/x
3. Step 3: Cross multiply
   106,983x = 165,658.50 × 165,658.50
4. Step 4: Simplify right side
   106,983x = 27,442,738,622.25
5. Step 5: Solve for x
   x = 27,442,738,622.25/106,983
6. Step 6: Final answer
   x = 256,514.95