Finding the Third Proportional to 103,627 and 185,930

Step by Step Solution

1. Step 1: Write the proportion equation
   103,627 : 185,930 = 185,930 : x
2. Step 2: Convert to fraction form
   103,627/185,930 = 185,930/x
3. Step 3: Cross multiply
   103,627x = 185,930 × 185,930
4. Step 4: Simplify right side
   103,627x = 34,569,964,900
5. Step 5: Solve for x
   x = 34,569,964,900/103,627
6. Step 6: Final answer
   x = 333,599.98