Finding the Third Proportional to 103,629 and 185,934

Step by Step Solution

1. Step 1: Write the proportion equation
   103,629 : 185,934 = 185,934 : x
2. Step 2: Convert to fraction form
   103,629/185,934 = 185,934/x
3. Step 3: Cross multiply
   103,629x = 185,934 × 185,934
4. Step 4: Simplify right side
   103,629x = 34,571,452,356
5. Step 5: Solve for x
   x = 34,571,452,356/103,629
6. Step 6: Final answer
   x = 333,607.89