Finding the Third Proportional to 42,259 and 89,897

Step by Step Solution

1. Step 1: Write the proportion equation
   42,259 : 89,897 = 89,897 : x
2. Step 2: Convert to fraction form
   42,259/89,897 = 89,897/x
3. Step 3: Cross multiply
   42,259x = 89,897 × 89,897
4. Step 4: Simplify right side
   42,259x = 8,081,470,609
5. Step 5: Solve for x
   x = 8,081,470,609/42,259
6. Step 6: Final answer
   x = 191,236.67