Finding the Third Proportional to 137,188 and 206,147

Step by Step Solution

1. Step 1: Write the proportion equation
   137,188 : 206,147 = 206,147 : x
2. Step 2: Convert to fraction form
   137,188/206,147 = 206,147/x
3. Step 3: Cross multiply
   137,188x = 206,147 × 206,147
4. Step 4: Simplify right side
   137,188x = 42,496,585,609
5. Step 5: Solve for x
   x = 42,496,585,609/137,188
6. Step 6: Final answer
   x = 309,768.97