Finding the Third Proportional to 82,150.50 and 176,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,150.50 : 176,968.50 = 176,968.50 : x
2. Step 2: Convert to fraction form
   82,150.50/176,968.50 = 176,968.50/x
3. Step 3: Cross multiply
   82,150.50x = 176,968.50 × 176,968.50
4. Step 4: Simplify right side
   82,150.50x = 31,317,849,992.25
5. Step 5: Solve for x
   x = 31,317,849,992.25/82,150.50
6. Step 6: Final answer
   x = 381,225.31