Finding the Third Proportional to 95,256 and 195,412.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,256 : 195,412.50 = 195,412.50 : x
2. Step 2: Convert to fraction form
   95,256/195,412.50 = 195,412.50/x
3. Step 3: Cross multiply
   95,256x = 195,412.50 × 195,412.50
4. Step 4: Simplify right side
   95,256x = 38,186,045,156.25
5. Step 5: Solve for x
   x = 38,186,045,156.25/95,256
6. Step 6: Final answer
   x = 400,878.11