Finding the Third Proportional to 81,809.50 and 178,401.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,809.50 : 178,401.50 = 178,401.50 : x
2. Step 2: Convert to fraction form
   81,809.50/178,401.50 = 178,401.50/x
3. Step 3: Cross multiply
   81,809.50x = 178,401.50 × 178,401.50
4. Step 4: Simplify right side
   81,809.50x = 31,827,095,202.25
5. Step 5: Solve for x
   x = 31,827,095,202.25/81,809.50
6. Step 6: Final answer
   x = 389,039.11