Finding the Third Proportional to 65,974 and 155,584

Step by Step Solution

1. Step 1: Write the proportion equation
   65,974 : 155,584 = 155,584 : x
2. Step 2: Convert to fraction form
   65,974/155,584 = 155,584/x
3. Step 3: Cross multiply
   65,974x = 155,584 × 155,584
4. Step 4: Simplify right side
   65,974x = 24,206,381,056
5. Step 5: Solve for x
   x = 24,206,381,056/65,974
6. Step 6: Final answer
   x = 366,907.89