Finding the Third Proportional to 69,530 and 152,880

Step by Step Solution

1. Step 1: Write the proportion equation
   69,530 : 152,880 = 152,880 : x
2. Step 2: Convert to fraction form
   69,530/152,880 = 152,880/x
3. Step 3: Cross multiply
   69,530x = 152,880 × 152,880
4. Step 4: Simplify right side
   69,530x = 23,372,294,400
5. Step 5: Solve for x
   x = 23,372,294,400/69,530
6. Step 6: Final answer
   x = 336,146.91