Finding the Third Proportional to 64,586 and 136,870

Step by Step Solution

1. Step 1: Write the proportion equation
   64,586 : 136,870 = 136,870 : x
2. Step 2: Convert to fraction form
   64,586/136,870 = 136,870/x
3. Step 3: Cross multiply
   64,586x = 136,870 × 136,870
4. Step 4: Simplify right side
   64,586x = 18,733,396,900
5. Step 5: Solve for x
   x = 18,733,396,900/64,586
6. Step 6: Final answer
   x = 290,053.52