Finding the Third Proportional to 191,826 and 399,280.50

Step by Step Solution

1. Step 1: Write the proportion equation
   191,826 : 399,280.50 = 399,280.50 : x
2. Step 2: Convert to fraction form
   191,826/399,280.50 = 399,280.50/x
3. Step 3: Cross multiply
   191,826x = 399,280.50 × 399,280.50
4. Step 4: Simplify right side
   191,826x = 159,424,917,680.25
5. Step 5: Solve for x
   x = 159,424,917,680.25/191,826
6. Step 6: Final answer
   x = 831,091.29