Finding the Third Proportional to 83,930 and 186,508

Step by Step Solution

1. Step 1: Write the proportion equation
   83,930 : 186,508 = 186,508 : x
2. Step 2: Convert to fraction form
   83,930/186,508 = 186,508/x
3. Step 3: Cross multiply
   83,930x = 186,508 × 186,508
4. Step 4: Simplify right side
   83,930x = 34,785,234,064
5. Step 5: Solve for x
   x = 34,785,234,064/83,930
6. Step 6: Final answer
   x = 414,455.31