Finding the Third Proportional to 82,188 and 174,966.75

Step by Step Solution

1. Step 1: Write the proportion equation
   82,188 : 174,966.75 = 174,966.75 : x
2. Step 2: Convert to fraction form
   82,188/174,966.75 = 174,966.75/x
3. Step 3: Cross multiply
   82,188x = 174,966.75 × 174,966.75
4. Step 4: Simplify right side
   82,188x = 30,613,363,605.56
5. Step 5: Solve for x
   x = 30,613,363,605.56/82,188
6. Step 6: Final answer
   x = 372,479.72