Finding the Third Proportional to 61,361 and 131,470

Step by Step Solution

1. Step 1: Write the proportion equation
   61,361 : 131,470 = 131,470 : x
2. Step 2: Convert to fraction form
   61,361/131,470 = 131,470/x
3. Step 3: Cross multiply
   61,361x = 131,470 × 131,470
4. Step 4: Simplify right side
   61,361x = 17,284,360,900
5. Step 5: Solve for x
   x = 17,284,360,900/61,361
6. Step 6: Final answer
   x = 281,683.17