Finding the Third Proportional to 193,497 and 293,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,497 : 293,164.50 = 293,164.50 : x
2. Step 2: Convert to fraction form
   193,497/293,164.50 = 293,164.50/x
3. Step 3: Cross multiply
   193,497x = 293,164.50 × 293,164.50
4. Step 4: Simplify right side
   193,497x = 85,945,424,060.25
5. Step 5: Solve for x
   x = 85,945,424,060.25/193,497
6. Step 6: Final answer
   x = 444,169.28