Finding the Third Proportional to 36,494 and 80,174

Step by Step Solution

1. Step 1: Write the proportion equation
   36,494 : 80,174 = 80,174 : x
2. Step 2: Convert to fraction form
   36,494/80,174 = 80,174/x
3. Step 3: Cross multiply
   36,494x = 80,174 × 80,174
4. Step 4: Simplify right side
   36,494x = 6,427,870,276
5. Step 5: Solve for x
   x = 6,427,870,276/36,494
6. Step 6: Final answer
   x = 176,134.99