Finding the Third Proportional to 82,091 and 176,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,091 : 176,997.50 = 176,997.50 : x
2. Step 2: Convert to fraction form
   82,091/176,997.50 = 176,997.50/x
3. Step 3: Cross multiply
   82,091x = 176,997.50 × 176,997.50
4. Step 4: Simplify right side
   82,091x = 31,328,115,006.25
5. Step 5: Solve for x
   x = 31,328,115,006.25/82,091
6. Step 6: Final answer
   x = 381,626.67