Finding the Third Proportional to 193,923 and 411,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,923 : 411,322.50 = 411,322.50 : x
2. Step 2: Convert to fraction form
   193,923/411,322.50 = 411,322.50/x
3. Step 3: Cross multiply
   193,923x = 411,322.50 × 411,322.50
4. Step 4: Simplify right side
   193,923x = 169,186,199,006.25
5. Step 5: Solve for x
   x = 169,186,199,006.25/193,923
6. Step 6: Final answer
   x = 872,440.09