Finding the Third Proportional to 153,632 and 206,640

Step by Step Solution

1. Step 1: Write the proportion equation
   153,632 : 206,640 = 206,640 : x
2. Step 2: Convert to fraction form
   153,632/206,640 = 206,640/x
3. Step 3: Cross multiply
   153,632x = 206,640 × 206,640
4. Step 4: Simplify right side
   153,632x = 42,700,089,600
5. Step 5: Solve for x
   x = 42,700,089,600/153,632
6. Step 6: Final answer
   x = 277,937.47