Finding the Third Proportional to 38,180 and 83,140

Step by Step Solution

1. Step 1: Write the proportion equation
   38,180 : 83,140 = 83,140 : x
2. Step 2: Convert to fraction form
   38,180/83,140 = 83,140/x
3. Step 3: Cross multiply
   38,180x = 83,140 × 83,140
4. Step 4: Simplify right side
   38,180x = 6,912,259,600
5. Step 5: Solve for x
   x = 6,912,259,600/38,180
6. Step 6: Final answer
   x = 181,043.99