Finding the Third Proportional to 69,524 and 152,116

Step by Step Solution

1. Step 1: Write the proportion equation
   69,524 : 152,116 = 152,116 : x
2. Step 2: Convert to fraction form
   69,524/152,116 = 152,116/x
3. Step 3: Cross multiply
   69,524x = 152,116 × 152,116
4. Step 4: Simplify right side
   69,524x = 23,139,277,456
5. Step 5: Solve for x
   x = 23,139,277,456/69,524
6. Step 6: Final answer
   x = 332,824.31