Finding the Third Proportional to 209,136 and 315,652.50

Step by Step Solution

1. Step 1: Write the proportion equation
   209,136 : 315,652.50 = 315,652.50 : x
2. Step 2: Convert to fraction form
   209,136/315,652.50 = 315,652.50/x
3. Step 3: Cross multiply
   209,136x = 315,652.50 × 315,652.50
4. Step 4: Simplify right side
   209,136x = 99,636,500,756.25
5. Step 5: Solve for x
   x = 99,636,500,756.25/209,136
6. Step 6: Final answer
   x = 476,419.65