Finding the Third Proportional to 81,580.50 and 178,105.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,580.50 : 178,105.50 = 178,105.50 : x
2. Step 2: Convert to fraction form
   81,580.50/178,105.50 = 178,105.50/x
3. Step 3: Cross multiply
   81,580.50x = 178,105.50 × 178,105.50
4. Step 4: Simplify right side
   81,580.50x = 31,721,569,130.25
5. Step 5: Solve for x
   x = 31,721,569,130.25/81,580.50
6. Step 6: Final answer
   x = 388,837.64