Finding the Third Proportional to 69,666 and 152,688

Step by Step Solution

1. Step 1: Write the proportion equation
   69,666 : 152,688 = 152,688 : x
2. Step 2: Convert to fraction form
   69,666/152,688 = 152,688/x
3. Step 3: Cross multiply
   69,666x = 152,688 × 152,688
4. Step 4: Simplify right side
   69,666x = 23,313,625,344
5. Step 5: Solve for x
   x = 23,313,625,344/69,666
6. Step 6: Final answer
   x = 334,648.54