Finding the Third Proportional to 37,444 and 83,188

Step by Step Solution

1. Step 1: Write the proportion equation
   37,444 : 83,188 = 83,188 : x
2. Step 2: Convert to fraction form
   37,444/83,188 = 83,188/x
3. Step 3: Cross multiply
   37,444x = 83,188 × 83,188
4. Step 4: Simplify right side
   37,444x = 6,920,243,344
5. Step 5: Solve for x
   x = 6,920,243,344/37,444
6. Step 6: Final answer
   x = 184,815.81