Finding the Third Proportional to 95,769 and 194,272.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,769 : 194,272.50 = 194,272.50 : x
2. Step 2: Convert to fraction form
   95,769/194,272.50 = 194,272.50/x
3. Step 3: Cross multiply
   95,769x = 194,272.50 × 194,272.50
4. Step 4: Simplify right side
   95,769x = 37,741,804,256.25
5. Step 5: Solve for x
   x = 37,741,804,256.25/95,769
6. Step 6: Final answer
   x = 394,092.08