Finding the Third Proportional to 71,250 and 152,456

Step by Step Solution

1. Step 1: Write the proportion equation
   71,250 : 152,456 = 152,456 : x
2. Step 2: Convert to fraction form
   71,250/152,456 = 152,456/x
3. Step 3: Cross multiply
   71,250x = 152,456 × 152,456
4. Step 4: Simplify right side
   71,250x = 23,242,831,936
5. Step 5: Solve for x
   x = 23,242,831,936/71,250
6. Step 6: Final answer
   x = 326,215.19