Finding the Third Proportional to 89,887 and 193,789

Step by Step Solution

1. Step 1: Write the proportion equation
   89,887 : 193,789 = 193,789 : x
2. Step 2: Convert to fraction form
   89,887/193,789 = 193,789/x
3. Step 3: Cross multiply
   89,887x = 193,789 × 193,789
4. Step 4: Simplify right side
   89,887x = 37,554,176,521
5. Step 5: Solve for x
   x = 37,554,176,521/89,887
6. Step 6: Final answer
   x = 417,793.19