Finding the Third Proportional to 137,186 and 206,144

Step by Step Solution

1. Step 1: Write the proportion equation
   137,186 : 206,144 = 206,144 : x
2. Step 2: Convert to fraction form
   137,186/206,144 = 206,144/x
3. Step 3: Cross multiply
   137,186x = 206,144 × 206,144
4. Step 4: Simplify right side
   137,186x = 42,495,348,736
5. Step 5: Solve for x
   x = 42,495,348,736/137,186
6. Step 6: Final answer
   x = 309,764.47