Finding the Third Proportional to 83,430 and 179,010

Step by Step Solution

1. Step 1: Write the proportion equation
   83,430 : 179,010 = 179,010 : x
2. Step 2: Convert to fraction form
   83,430/179,010 = 179,010/x
3. Step 3: Cross multiply
   83,430x = 179,010 × 179,010
4. Step 4: Simplify right side
   83,430x = 32,044,580,100
5. Step 5: Solve for x
   x = 32,044,580,100/83,430
6. Step 6: Final answer
   x = 384,089.42