Finding the Third Proportional to 69,747 and 152,697

Step by Step Solution

1. Step 1: Write the proportion equation
   69,747 : 152,697 = 152,697 : x
2. Step 2: Convert to fraction form
   69,747/152,697 = 152,697/x
3. Step 3: Cross multiply
   69,747x = 152,697 × 152,697
4. Step 4: Simplify right side
   69,747x = 23,316,373,809
5. Step 5: Solve for x
   x = 23,316,373,809/69,747
6. Step 6: Final answer
   x = 334,299.31