Finding the Third Proportional to 146,032 and 208,680

Step by Step Solution

1. Step 1: Write the proportion equation
   146,032 : 208,680 = 208,680 : x
2. Step 2: Convert to fraction form
   146,032/208,680 = 208,680/x
3. Step 3: Cross multiply
   146,032x = 208,680 × 208,680
4. Step 4: Simplify right side
   146,032x = 43,547,342,400
5. Step 5: Solve for x
   x = 43,547,342,400/146,032
6. Step 6: Final answer
   x = 298,204.11