Finding the Third Proportional to 83,024 and 180,010

Step by Step Solution

1. Step 1: Write the proportion equation
   83,024 : 180,010 = 180,010 : x
2. Step 2: Convert to fraction form
   83,024/180,010 = 180,010/x
3. Step 3: Cross multiply
   83,024x = 180,010 × 180,010
4. Step 4: Simplify right side
   83,024x = 32,403,600,100
5. Step 5: Solve for x
   x = 32,403,600,100/83,024
6. Step 6: Final answer
   x = 390,291.96