Finding the Third Proportional to 82,182 and 174,955.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,182 : 174,955.50 = 174,955.50 : x
2. Step 2: Convert to fraction form
   82,182/174,955.50 = 174,955.50/x
3. Step 3: Cross multiply
   82,182x = 174,955.50 × 174,955.50
4. Step 4: Simplify right side
   82,182x = 30,609,426,980.25
5. Step 5: Solve for x
   x = 30,609,426,980.25/82,182
6. Step 6: Final answer
   x = 372,459.02