Finding the Third Proportional to 70,144 and 151,586

Step by Step Solution

1. Step 1: Write the proportion equation
   70,144 : 151,586 = 151,586 : x
2. Step 2: Convert to fraction form
   70,144/151,586 = 151,586/x
3. Step 3: Cross multiply
   70,144x = 151,586 × 151,586
4. Step 4: Simplify right side
   70,144x = 22,978,315,396
5. Step 5: Solve for x
   x = 22,978,315,396/70,144
6. Step 6: Final answer
   x = 327,587.75