Finding the Third Proportional to 199,827 and 301,060.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,827 : 301,060.50 = 301,060.50 : x
2. Step 2: Convert to fraction form
   199,827/301,060.50 = 301,060.50/x
3. Step 3: Cross multiply
   199,827x = 301,060.50 × 301,060.50
4. Step 4: Simplify right side
   199,827x = 90,637,424,660.25
5. Step 5: Solve for x
   x = 90,637,424,660.25/199,827
6. Step 6: Final answer
   x = 453,579.47