Finding the Third Proportional to 83,927 and 186,502

Step by Step Solution

1. Step 1: Write the proportion equation
   83,927 : 186,502 = 186,502 : x
2. Step 2: Convert to fraction form
   83,927/186,502 = 186,502/x
3. Step 3: Cross multiply
   83,927x = 186,502 × 186,502
4. Step 4: Simplify right side
   83,927x = 34,782,996,004
5. Step 5: Solve for x
   x = 34,782,996,004/83,927
6. Step 6: Final answer
   x = 414,443.46