Finding the Third Proportional to 91,748 and 189,789

Step by Step Solution

1. Step 1: Write the proportion equation
   91,748 : 189,789 = 189,789 : x
2. Step 2: Convert to fraction form
   91,748/189,789 = 189,789/x
3. Step 3: Cross multiply
   91,748x = 189,789 × 189,789
4. Step 4: Simplify right side
   91,748x = 36,019,864,521
5. Step 5: Solve for x
   x = 36,019,864,521/91,748
6. Step 6: Final answer
   x = 392,595.64