Finding the Third Proportional to 43,830 and 89,820

Step by Step Solution

1. Step 1: Write the proportion equation
   43,830 : 89,820 = 89,820 : x
2. Step 2: Convert to fraction form
   43,830/89,820 = 89,820/x
3. Step 3: Cross multiply
   43,830x = 89,820 × 89,820
4. Step 4: Simplify right side
   43,830x = 8,067,632,400
5. Step 5: Solve for x
   x = 8,067,632,400/43,830
6. Step 6: Final answer
   x = 184,066.45