Finding the Third Proportional to 38,206 and 82,980.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,206 : 82,980.50 = 82,980.50 : x
2. Step 2: Convert to fraction form
   38,206/82,980.50 = 82,980.50/x
3. Step 3: Cross multiply
   38,206x = 82,980.50 × 82,980.50
4. Step 4: Simplify right side
   38,206x = 6,885,763,380.25
5. Step 5: Solve for x
   x = 6,885,763,380.25/38,206
6. Step 6: Final answer
   x = 180,227.28