Finding the Third Proportional to 199,827 and 436,261.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,827 : 436,261.50 = 436,261.50 : x
2. Step 2: Convert to fraction form
   199,827/436,261.50 = 436,261.50/x
3. Step 3: Cross multiply
   199,827x = 436,261.50 × 436,261.50
4. Step 4: Simplify right side
   199,827x = 190,324,096,382.25
5. Step 5: Solve for x
   x = 190,324,096,382.25/199,827
6. Step 6: Final answer
   x = 952,444.35