Finding the Third Proportional to 82,147.50 and 183,006

Step by Step Solution

1. Step 1: Write the proportion equation
   82,147.50 : 183,006 = 183,006 : x
2. Step 2: Convert to fraction form
   82,147.50/183,006 = 183,006/x
3. Step 3: Cross multiply
   82,147.50x = 183,006 × 183,006
4. Step 4: Simplify right side
   82,147.50x = 33,491,196,036
5. Step 5: Solve for x
   x = 33,491,196,036/82,147.50
6. Step 6: Final answer
   x = 407,695.86