Finding the Third Proportional to 71,136 and 152,640

Step by Step Solution

1. Step 1: Write the proportion equation
   71,136 : 152,640 = 152,640 : x
2. Step 2: Convert to fraction form
   71,136/152,640 = 152,640/x
3. Step 3: Cross multiply
   71,136x = 152,640 × 152,640
4. Step 4: Simplify right side
   71,136x = 23,298,969,600
5. Step 5: Solve for x
   x = 23,298,969,600/71,136
6. Step 6: Final answer
   x = 327,527.13