Finding the Third Proportional to 38,804 and 83,144

Step by Step Solution

1. Step 1: Write the proportion equation
   38,804 : 83,144 = 83,144 : x
2. Step 2: Convert to fraction form
   38,804/83,144 = 83,144/x
3. Step 3: Cross multiply
   38,804x = 83,144 × 83,144
4. Step 4: Simplify right side
   38,804x = 6,912,924,736
5. Step 5: Solve for x
   x = 6,912,924,736/38,804
6. Step 6: Final answer
   x = 178,149.80