Finding the Third Proportional to 71,833.50 and 145,719

Step by Step Solution

1. Step 1: Write the proportion equation
   71,833.50 : 145,719 = 145,719 : x
2. Step 2: Convert to fraction form
   71,833.50/145,719 = 145,719/x
3. Step 3: Cross multiply
   71,833.50x = 145,719 × 145,719
4. Step 4: Simplify right side
   71,833.50x = 21,234,026,961
5. Step 5: Solve for x
   x = 21,234,026,961/71,833.50
6. Step 6: Final answer
   x = 295,600.62