Finding the Third Proportional to 82,171 and 117,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,171 : 117,424.50 = 117,424.50 : x
2. Step 2: Convert to fraction form
   82,171/117,424.50 = 117,424.50/x
3. Step 3: Cross multiply
   82,171x = 117,424.50 × 117,424.50
4. Step 4: Simplify right side
   82,171x = 13,788,513,200.25
5. Step 5: Solve for x
   x = 13,788,513,200.25/82,171
6. Step 6: Final answer
   x = 167,802.67