Finding the Third Proportional to 71,816 and 152,272

Step by Step Solution

1. Step 1: Write the proportion equation
   71,816 : 152,272 = 152,272 : x
2. Step 2: Convert to fraction form
   71,816/152,272 = 152,272/x
3. Step 3: Cross multiply
   71,816x = 152,272 × 152,272
4. Step 4: Simplify right side
   71,816x = 23,186,761,984
5. Step 5: Solve for x
   x = 23,186,761,984/71,816
6. Step 6: Final answer
   x = 322,863.46