Finding the Third Proportional to 157,779 and 342,007

Step by Step Solution

1. Step 1: Write the proportion equation
   157,779 : 342,007 = 342,007 : x
2. Step 2: Convert to fraction form
   157,779/342,007 = 342,007/x
3. Step 3: Cross multiply
   157,779x = 342,007 × 342,007
4. Step 4: Simplify right side
   157,779x = 116,968,788,049
5. Step 5: Solve for x
   x = 116,968,788,049/157,779
6. Step 6: Final answer
   x = 741,345.73