Finding the Third Proportional to 89,748 and 196,904

Step by Step Solution

1. Step 1: Write the proportion equation
   89,748 : 196,904 = 196,904 : x
2. Step 2: Convert to fraction form
   89,748/196,904 = 196,904/x
3. Step 3: Cross multiply
   89,748x = 196,904 × 196,904
4. Step 4: Simplify right side
   89,748x = 38,771,185,216
5. Step 5: Solve for x
   x = 38,771,185,216/89,748
6. Step 6: Final answer
   x = 432,000.55