Finding the Third Proportional to 82,019.25 and 118,533

Step by Step Solution

1. Step 1: Write the proportion equation
   82,019.25 : 118,533 = 118,533 : x
2. Step 2: Convert to fraction form
   82,019.25/118,533 = 118,533/x
3. Step 3: Cross multiply
   82,019.25x = 118,533 × 118,533
4. Step 4: Simplify right side
   82,019.25x = 14,050,072,089
5. Step 5: Solve for x
   x = 14,050,072,089/82,019.25
6. Step 6: Final answer
   x = 171,302.13