Finding the Third Proportional to 83,702 and 186,028

Step by Step Solution

1. Step 1: Write the proportion equation
   83,702 : 186,028 = 186,028 : x
2. Step 2: Convert to fraction form
   83,702/186,028 = 186,028/x
3. Step 3: Cross multiply
   83,702x = 186,028 × 186,028
4. Step 4: Simplify right side
   83,702x = 34,606,416,784
5. Step 5: Solve for x
   x = 34,606,416,784/83,702
6. Step 6: Final answer
   x = 413,447.91