Finding the Third Proportional to 126,722.50 and 189,708

Step by Step Solution

1. Step 1: Write the proportion equation
   126,722.50 : 189,708 = 189,708 : x
2. Step 2: Convert to fraction form
   126,722.50/189,708 = 189,708/x
3. Step 3: Cross multiply
   126,722.50x = 189,708 × 189,708
4. Step 4: Simplify right side
   126,722.50x = 35,989,125,264
5. Step 5: Solve for x
   x = 35,989,125,264/126,722.50
6. Step 6: Final answer
   x = 283,999.49