Finding the Third Proportional to 89,300 and 196,772

Step by Step Solution

1. Step 1: Write the proportion equation
   89,300 : 196,772 = 196,772 : x
2. Step 2: Convert to fraction form
   89,300/196,772 = 196,772/x
3. Step 3: Cross multiply
   89,300x = 196,772 × 196,772
4. Step 4: Simplify right side
   89,300x = 38,719,219,984
5. Step 5: Solve for x
   x = 38,719,219,984/89,300
6. Step 6: Final answer
   x = 433,585.89