Finding the Third Proportional to 83,701 and 186,026

Step by Step Solution

1. Step 1: Write the proportion equation
   83,701 : 186,026 = 186,026 : x
2. Step 2: Convert to fraction form
   83,701/186,026 = 186,026/x
3. Step 3: Cross multiply
   83,701x = 186,026 × 186,026
4. Step 4: Simplify right side
   83,701x = 34,605,672,676
5. Step 5: Solve for x
   x = 34,605,672,676/83,701
6. Step 6: Final answer
   x = 413,443.96