Finding the Third Proportional to 208,827 and 318,136.50

Step by Step Solution

1. Step 1: Write the proportion equation
   208,827 : 318,136.50 = 318,136.50 : x
2. Step 2: Convert to fraction form
   208,827/318,136.50 = 318,136.50/x
3. Step 3: Cross multiply
   208,827x = 318,136.50 × 318,136.50
4. Step 4: Simplify right side
   208,827x = 101,210,832,632.25
5. Step 5: Solve for x
   x = 101,210,832,632.25/208,827
6. Step 6: Final answer
   x = 484,663.54