Finding the Third Proportional to 78,030 and 171,012

Step by Step Solution

1. Step 1: Write the proportion equation
   78,030 : 171,012 = 171,012 : x
2. Step 2: Convert to fraction form
   78,030/171,012 = 171,012/x
3. Step 3: Cross multiply
   78,030x = 171,012 × 171,012
4. Step 4: Simplify right side
   78,030x = 29,245,104,144
5. Step 5: Solve for x
   x = 29,245,104,144/78,030
6. Step 6: Final answer
   x = 374,793.08