Finding the Third Proportional to 83,767.50 and 179,361

Step by Step Solution

1. Step 1: Write the proportion equation
   83,767.50 : 179,361 = 179,361 : x
2. Step 2: Convert to fraction form
   83,767.50/179,361 = 179,361/x
3. Step 3: Cross multiply
   83,767.50x = 179,361 × 179,361
4. Step 4: Simplify right side
   83,767.50x = 32,170,368,321
5. Step 5: Solve for x
   x = 32,170,368,321/83,767.50
6. Step 6: Final answer
   x = 384,043.55