Finding the Third Proportional to 83,699 and 186,022

Step by Step Solution

1. Step 1: Write the proportion equation
   83,699 : 186,022 = 186,022 : x
2. Step 2: Convert to fraction form
   83,699/186,022 = 186,022/x
3. Step 3: Cross multiply
   83,699x = 186,022 × 186,022
4. Step 4: Simplify right side
   83,699x = 34,604,184,484
5. Step 5: Solve for x
   x = 34,604,184,484/83,699
6. Step 6: Final answer
   x = 413,436.06