Finding the Third Proportional to 136,747.50 and 206,946

Step by Step Solution

1. Step 1: Write the proportion equation
   136,747.50 : 206,946 = 206,946 : x
2. Step 2: Convert to fraction form
   136,747.50/206,946 = 206,946/x
3. Step 3: Cross multiply
   136,747.50x = 206,946 × 206,946
4. Step 4: Simplify right side
   136,747.50x = 42,826,646,916
5. Step 5: Solve for x
   x = 42,826,646,916/136,747.50
6. Step 6: Final answer
   x = 313,180.47