Finding the Third Proportional to 81,546 and 179,647.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,546 : 179,647.50 = 179,647.50 : x
2. Step 2: Convert to fraction form
   81,546/179,647.50 = 179,647.50/x
3. Step 3: Cross multiply
   81,546x = 179,647.50 × 179,647.50
4. Step 4: Simplify right side
   81,546x = 32,273,224,256.25
5. Step 5: Solve for x
   x = 32,273,224,256.25/81,546
6. Step 6: Final answer
   x = 395,767.10