Finding the Third Proportional to 101,760 and 155,004

Step by Step Solution

1. Step 1: Write the proportion equation
   101,760 : 155,004 = 155,004 : x
2. Step 2: Convert to fraction form
   101,760/155,004 = 155,004/x
3. Step 3: Cross multiply
   101,760x = 155,004 × 155,004
4. Step 4: Simplify right side
   101,760x = 24,026,240,016
5. Step 5: Solve for x
   x = 24,026,240,016/101,760
6. Step 6: Final answer
   x = 236,106.92