Finding the Third Proportional to 72,648 and 153,184

Step by Step Solution

1. Step 1: Write the proportion equation
   72,648 : 153,184 = 153,184 : x
2. Step 2: Convert to fraction form
   72,648/153,184 = 153,184/x
3. Step 3: Cross multiply
   72,648x = 153,184 × 153,184
4. Step 4: Simplify right side
   72,648x = 23,465,337,856
5. Step 5: Solve for x
   x = 23,465,337,856/72,648
6. Step 6: Final answer
   x = 323,000.47