Finding the Third Proportional to 72,004 and 157,004

Step by Step Solution

1. Step 1: Write the proportion equation
   72,004 : 157,004 = 157,004 : x
2. Step 2: Convert to fraction form
   72,004/157,004 = 157,004/x
3. Step 3: Cross multiply
   72,004x = 157,004 × 157,004
4. Step 4: Simplify right side
   72,004x = 24,650,256,016
5. Step 5: Solve for x
   x = 24,650,256,016/72,004
6. Step 6: Final answer
   x = 342,345.65