Finding the Third Proportional to 71,648 and 153,152

Step by Step Solution

1. Step 1: Write the proportion equation
   71,648 : 153,152 = 153,152 : x
2. Step 2: Convert to fraction form
   71,648/153,152 = 153,152/x
3. Step 3: Cross multiply
   71,648x = 153,152 × 153,152
4. Step 4: Simplify right side
   71,648x = 23,455,535,104
5. Step 5: Solve for x
   x = 23,455,535,104/71,648
6. Step 6: Final answer
   x = 327,371.81