Finding the Third Proportional to 89,428 and 189,516

Step by Step Solution

1. Step 1: Write the proportion equation
   89,428 : 189,516 = 189,516 : x
2. Step 2: Convert to fraction form
   89,428/189,516 = 189,516/x
3. Step 3: Cross multiply
   89,428x = 189,516 × 189,516
4. Step 4: Simplify right side
   89,428x = 35,916,314,256
5. Step 5: Solve for x
   x = 35,916,314,256/89,428
6. Step 6: Final answer
   x = 401,622.69