Finding the Third Proportional to 42,096 and 92,106

Step by Step Solution

1. Step 1: Write the proportion equation
   42,096 : 92,106 = 92,106 : x
2. Step 2: Convert to fraction form
   42,096/92,106 = 92,106/x
3. Step 3: Cross multiply
   42,096x = 92,106 × 92,106
4. Step 4: Simplify right side
   42,096x = 8,483,515,236
5. Step 5: Solve for x
   x = 8,483,515,236/42,096
6. Step 6: Final answer
   x = 201,527.82