Finding the Third Proportional to 90,796.50 and 193,945.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,796.50 : 193,945.50 = 193,945.50 : x
2. Step 2: Convert to fraction form
   90,796.50/193,945.50 = 193,945.50/x
3. Step 3: Cross multiply
   90,796.50x = 193,945.50 × 193,945.50
4. Step 4: Simplify right side
   90,796.50x = 37,614,856,970.25
5. Step 5: Solve for x
   x = 37,614,856,970.25/90,796.50
6. Step 6: Final answer
   x = 414,276.51