Finding the Third Proportional to 66,598.50 and 142,674

Step by Step Solution

1. Step 1: Write the proportion equation
   66,598.50 : 142,674 = 142,674 : x
2. Step 2: Convert to fraction form
   66,598.50/142,674 = 142,674/x
3. Step 3: Cross multiply
   66,598.50x = 142,674 × 142,674
4. Step 4: Simplify right side
   66,598.50x = 20,355,870,276
5. Step 5: Solve for x
   x = 20,355,870,276/66,598.50
6. Step 6: Final answer
   x = 305,650.58