Finding the Third Proportional to 153,728 and 359,066

Step by Step Solution

1. Step 1: Write the proportion equation
   153,728 : 359,066 = 359,066 : x
2. Step 2: Convert to fraction form
   153,728/359,066 = 359,066/x
3. Step 3: Cross multiply
   153,728x = 359,066 × 359,066
4. Step 4: Simplify right side
   153,728x = 128,928,392,356
5. Step 5: Solve for x
   x = 128,928,392,356/153,728
6. Step 6: Final answer
   x = 838,678.66