Finding the Third Proportional to 42,225 and 91,146

Step by Step Solution

1. Step 1: Write the proportion equation
   42,225 : 91,146 = 91,146 : x
2. Step 2: Convert to fraction form
   42,225/91,146 = 91,146/x
3. Step 3: Cross multiply
   42,225x = 91,146 × 91,146
4. Step 4: Simplify right side
   42,225x = 8,307,593,316
5. Step 5: Solve for x
   x = 8,307,593,316/42,225
6. Step 6: Final answer
   x = 196,745.85