Finding the Third Proportional to 178,825.50 and 378,972

Step by Step Solution

1. Step 1: Write the proportion equation
   178,825.50 : 378,972 = 378,972 : x
2. Step 2: Convert to fraction form
   178,825.50/378,972 = 378,972/x
3. Step 3: Cross multiply
   178,825.50x = 378,972 × 378,972
4. Step 4: Simplify right side
   178,825.50x = 143,619,776,784
5. Step 5: Solve for x
   x = 143,619,776,784/178,825.50
6. Step 6: Final answer
   x = 803,128.06