Finding the Third Proportional to 92,424 and 146,916

Step by Step Solution

1. Step 1: Write the proportion equation
   92,424 : 146,916 = 146,916 : x
2. Step 2: Convert to fraction form
   92,424/146,916 = 146,916/x
3. Step 3: Cross multiply
   92,424x = 146,916 × 146,916
4. Step 4: Simplify right side
   92,424x = 21,584,311,056
5. Step 5: Solve for x
   x = 21,584,311,056/92,424
6. Step 6: Final answer
   x = 233,535.78