Finding the Third Proportional to 82,179 and 174,948.75

Step by Step Solution

1. Step 1: Write the proportion equation
   82,179 : 174,948.75 = 174,948.75 : x
2. Step 2: Convert to fraction form
   82,179/174,948.75 = 174,948.75/x
3. Step 3: Cross multiply
   82,179x = 174,948.75 × 174,948.75
4. Step 4: Simplify right side
   82,179x = 30,607,065,126.56
5. Step 5: Solve for x
   x = 30,607,065,126.56/82,179
6. Step 6: Final answer
   x = 372,443.87