Finding the Third Proportional to 81,530.50 and 178,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,530.50 : 178,005.50 = 178,005.50 : x
2. Step 2: Convert to fraction form
   81,530.50/178,005.50 = 178,005.50/x
3. Step 3: Cross multiply
   81,530.50x = 178,005.50 × 178,005.50
4. Step 4: Simplify right side
   81,530.50x = 31,685,958,030.25
5. Step 5: Solve for x
   x = 31,685,958,030.25/81,530.50
6. Step 6: Final answer
   x = 388,639.32