Finding the Third Proportional to 79,025 and 186,546

Step by Step Solution

1. Step 1: Write the proportion equation
   79,025 : 186,546 = 186,546 : x
2. Step 2: Convert to fraction form
   79,025/186,546 = 186,546/x
3. Step 3: Cross multiply
   79,025x = 186,546 × 186,546
4. Step 4: Simplify right side
   79,025x = 34,799,410,116
5. Step 5: Solve for x
   x = 34,799,410,116/79,025
6. Step 6: Final answer
   x = 440,359.51