Finding the Third Proportional to 180,688.50 and 381,726

Step by Step Solution

1. Step 1: Write the proportion equation
   180,688.50 : 381,726 = 381,726 : x
2. Step 2: Convert to fraction form
   180,688.50/381,726 = 381,726/x
3. Step 3: Cross multiply
   180,688.50x = 381,726 × 381,726
4. Step 4: Simplify right side
   180,688.50x = 145,714,739,076
5. Step 5: Solve for x
   x = 145,714,739,076/180,688.50
6. Step 6: Final answer
   x = 806,441.69