Finding the Third Proportional to 71,334 and 151,830

Step by Step Solution

1. Step 1: Write the proportion equation
   71,334 : 151,830 = 151,830 : x
2. Step 2: Convert to fraction form
   71,334/151,830 = 151,830/x
3. Step 3: Cross multiply
   71,334x = 151,830 × 151,830
4. Step 4: Simplify right side
   71,334x = 23,052,348,900
5. Step 5: Solve for x
   x = 23,052,348,900/71,334
6. Step 6: Final answer
   x = 323,160.75