Finding the Third Proportional to 42,096 and 98,358

Step by Step Solution

1. Step 1: Write the proportion equation
   42,096 : 98,358 = 98,358 : x
2. Step 2: Convert to fraction form
   42,096/98,358 = 98,358/x
3. Step 3: Cross multiply
   42,096x = 98,358 × 98,358
4. Step 4: Simplify right side
   42,096x = 9,674,296,164
5. Step 5: Solve for x
   x = 9,674,296,164/42,096
6. Step 6: Final answer
   x = 229,815.09