Finding the Third Proportional to 37,438 and 83,180

Step by Step Solution

1. Step 1: Write the proportion equation
   37,438 : 83,180 = 83,180 : x
2. Step 2: Convert to fraction form
   37,438/83,180 = 83,180/x
3. Step 3: Cross multiply
   37,438x = 83,180 × 83,180
4. Step 4: Simplify right side
   37,438x = 6,918,912,400
5. Step 5: Solve for x
   x = 6,918,912,400/37,438
6. Step 6: Final answer
   x = 184,809.88