Finding the Third Proportional to 83,023 and 171,953.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,023 : 171,953.50 = 171,953.50 : x
2. Step 2: Convert to fraction form
   83,023/171,953.50 = 171,953.50/x
3. Step 3: Cross multiply
   83,023x = 171,953.50 × 171,953.50
4. Step 4: Simplify right side
   83,023x = 29,568,006,162.25
5. Step 5: Solve for x
   x = 29,568,006,162.25/83,023
6. Step 6: Final answer
   x = 356,142.35