Finding the Third Proportional to 91,896 and 189,540

Step by Step Solution

1. Step 1: Write the proportion equation
   91,896 : 189,540 = 189,540 : x
2. Step 2: Convert to fraction form
   91,896/189,540 = 189,540/x
3. Step 3: Cross multiply
   91,896x = 189,540 × 189,540
4. Step 4: Simplify right side
   91,896x = 35,925,411,600
5. Step 5: Solve for x
   x = 35,925,411,600/91,896
6. Step 6: Final answer
   x = 390,935.53