Finding the Third Proportional to 271,657.50 and 590,016

Step by Step Solution

1. Step 1: Write the proportion equation
   271,657.50 : 590,016 = 590,016 : x
2. Step 2: Convert to fraction form
   271,657.50/590,016 = 590,016/x
3. Step 3: Cross multiply
   271,657.50x = 590,016 × 590,016
4. Step 4: Simplify right side
   271,657.50x = 348,118,880,256
5. Step 5: Solve for x
   x = 348,118,880,256/271,657.50
6. Step 6: Final answer
   x = 1,281,462.43