Finding the Third Proportional to 69,584 and 152,296

Step by Step Solution

1. Step 1: Write the proportion equation
   69,584 : 152,296 = 152,296 : x
2. Step 2: Convert to fraction form
   69,584/152,296 = 152,296/x
3. Step 3: Cross multiply
   69,584x = 152,296 × 152,296
4. Step 4: Simplify right side
   69,584x = 23,194,071,616
5. Step 5: Solve for x
   x = 23,194,071,616/69,584
6. Step 6: Final answer
   x = 333,324.78