Finding the Third Proportional to 37,978 and 83,103.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,978 : 83,103.50 = 83,103.50 : x
2. Step 2: Convert to fraction form
   37,978/83,103.50 = 83,103.50/x
3. Step 3: Cross multiply
   37,978x = 83,103.50 × 83,103.50
4. Step 4: Simplify right side
   37,978x = 6,906,191,712.25
5. Step 5: Solve for x
   x = 6,906,191,712.25/37,978
6. Step 6: Final answer
   x = 181,847.17