Finding the Third Proportional to 83,697.36 and 186,017.45

Step by Step Solution

1. Step 1: Write the proportion equation
   83,697.36 : 186,017.45 = 186,017.45 : x
2. Step 2: Convert to fraction form
   83,697.36/186,017.45 = 186,017.45/x
3. Step 3: Cross multiply
   83,697.36x = 186,017.45 × 186,017.45
4. Step 4: Simplify right side
   83,697.36x = 34,602,491,413.85
5. Step 5: Solve for x
   x = 34,602,491,413.85/83,697.36
6. Step 6: Final answer
   x = 413,423.91