Finding the Third Proportional to 95,745 and 146,210

Step by Step Solution

1. Step 1: Write the proportion equation
   95,745 : 146,210 = 146,210 : x
2. Step 2: Convert to fraction form
   95,745/146,210 = 146,210/x
3. Step 3: Cross multiply
   95,745x = 146,210 × 146,210
4. Step 4: Simplify right side
   95,745x = 21,377,364,100
5. Step 5: Solve for x
   x = 21,377,364,100/95,745
6. Step 6: Final answer
   x = 223,273.95