Finding the Third Proportional to 65,584 and 153,970

Step by Step Solution

1. Step 1: Write the proportion equation
   65,584 : 153,970 = 153,970 : x
2. Step 2: Convert to fraction form
   65,584/153,970 = 153,970/x
3. Step 3: Cross multiply
   65,584x = 153,970 × 153,970
4. Step 4: Simplify right side
   65,584x = 23,706,760,900
5. Step 5: Solve for x
   x = 23,706,760,900/65,584
6. Step 6: Final answer
   x = 361,471.71