Finding the Third Proportional to 82,188 and 179,446.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,188 : 179,446.50 = 179,446.50 : x
2. Step 2: Convert to fraction form
   82,188/179,446.50 = 179,446.50/x
3. Step 3: Cross multiply
   82,188x = 179,446.50 × 179,446.50
4. Step 4: Simplify right side
   82,188x = 32,201,046,362.25
5. Step 5: Solve for x
   x = 32,201,046,362.25/82,188
6. Step 6: Final answer
   x = 391,797.42