Finding the Third Proportional to 95,913 and 146,784

Step by Step Solution

1. Step 1: Write the proportion equation
   95,913 : 146,784 = 146,784 : x
2. Step 2: Convert to fraction form
   95,913/146,784 = 146,784/x
3. Step 3: Cross multiply
   95,913x = 146,784 × 146,784
4. Step 4: Simplify right side
   95,913x = 21,545,542,656
5. Step 5: Solve for x
   x = 21,545,542,656/95,913
6. Step 6: Final answer
   x = 224,636.31