Finding the Third Proportional to 83,178 and 180,012

Step by Step Solution

1. Step 1: Write the proportion equation
   83,178 : 180,012 = 180,012 : x
2. Step 2: Convert to fraction form
   83,178/180,012 = 180,012/x
3. Step 3: Cross multiply
   83,178x = 180,012 × 180,012
4. Step 4: Simplify right side
   83,178x = 32,404,320,144
5. Step 5: Solve for x
   x = 32,404,320,144/83,178
6. Step 6: Final answer
   x = 389,578.02