Finding the Third Proportional to 65,974 and 138,429

Step by Step Solution

1. Step 1: Write the proportion equation
   65,974 : 138,429 = 138,429 : x
2. Step 2: Convert to fraction form
   65,974/138,429 = 138,429/x
3. Step 3: Cross multiply
   65,974x = 138,429 × 138,429
4. Step 4: Simplify right side
   65,974x = 19,162,588,041
5. Step 5: Solve for x
   x = 19,162,588,041/65,974
6. Step 6: Final answer
   x = 290,456.67