Finding the Third Proportional to 193,786 and 411,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,786 : 411,025.50 = 411,025.50 : x
2. Step 2: Convert to fraction form
   193,786/411,025.50 = 411,025.50/x
3. Step 3: Cross multiply
   193,786x = 411,025.50 × 411,025.50
4. Step 4: Simplify right side
   193,786x = 168,941,961,650.25
5. Step 5: Solve for x
   x = 168,941,961,650.25/193,786
6. Step 6: Final answer
   x = 871,796.53