Finding the Third Proportional to 81,953.25 and 178,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,953.25 : 178,327.50 = 178,327.50 : x
2. Step 2: Convert to fraction form
   81,953.25/178,327.50 = 178,327.50/x
3. Step 3: Cross multiply
   81,953.25x = 178,327.50 × 178,327.50
4. Step 4: Simplify right side
   81,953.25x = 31,800,697,256.25
5. Step 5: Solve for x
   x = 31,800,697,256.25/81,953.25
6. Step 6: Final answer
   x = 388,034.61