Finding the Third Proportional to 81,830.25 and 178,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,830.25 : 178,969.50 = 178,969.50 : x
2. Step 2: Convert to fraction form
   81,830.25/178,969.50 = 178,969.50/x
3. Step 3: Cross multiply
   81,830.25x = 178,969.50 × 178,969.50
4. Step 4: Simplify right side
   81,830.25x = 32,030,081,930.25
5. Step 5: Solve for x
   x = 32,030,081,930.25/81,830.25
6. Step 6: Final answer
   x = 391,421.04