Finding the Third Proportional to 137,181 and 206,136

Step by Step Solution

1. Step 1: Write the proportion equation
   137,181 : 206,136 = 206,136 : x
2. Step 2: Convert to fraction form
   137,181/206,136 = 206,136/x
3. Step 3: Cross multiply
   137,181x = 206,136 × 206,136
4. Step 4: Simplify right side
   137,181x = 42,492,050,496
5. Step 5: Solve for x
   x = 42,492,050,496/137,181
6. Step 6: Final answer
   x = 309,751.72