Finding the Third Proportional to 160,464 and 345,066

Step by Step Solution

1. Step 1: Write the proportion equation
   160,464 : 345,066 = 345,066 : x
2. Step 2: Convert to fraction form
   160,464/345,066 = 345,066/x
3. Step 3: Cross multiply
   160,464x = 345,066 × 345,066
4. Step 4: Simplify right side
   160,464x = 119,070,544,356
5. Step 5: Solve for x
   x = 119,070,544,356/160,464
6. Step 6: Final answer
   x = 742,038.99