Finding the Third Proportional to 81,099 and 174,185

Step by Step Solution

1. Step 1: Write the proportion equation
   81,099 : 174,185 = 174,185 : x
2. Step 2: Convert to fraction form
   81,099/174,185 = 174,185/x
3. Step 3: Cross multiply
   81,099x = 174,185 × 174,185
4. Step 4: Simplify right side
   81,099x = 30,340,414,225
5. Step 5: Solve for x
   x = 30,340,414,225/81,099
6. Step 6: Final answer
   x = 374,115.76