Finding the Third Proportional to 43,214 and 89,428

Step by Step Solution

1. Step 1: Write the proportion equation
   43,214 : 89,428 = 89,428 : x
2. Step 2: Convert to fraction form
   43,214/89,428 = 89,428/x
3. Step 3: Cross multiply
   43,214x = 89,428 × 89,428
4. Step 4: Simplify right side
   43,214x = 7,997,367,184
5. Step 5: Solve for x
   x = 7,997,367,184/43,214
6. Step 6: Final answer
   x = 185,064.27