Finding the Third Proportional to 89,748 and 188,964

Step by Step Solution

1. Step 1: Write the proportion equation
   89,748 : 188,964 = 188,964 : x
2. Step 2: Convert to fraction form
   89,748/188,964 = 188,964/x
3. Step 3: Cross multiply
   89,748x = 188,964 × 188,964
4. Step 4: Simplify right side
   89,748x = 35,707,393,296
5. Step 5: Solve for x
   x = 35,707,393,296/89,748
6. Step 6: Final answer
   x = 397,862.83