Finding the Third Proportional to 69,709 and 152,759

Step by Step Solution

1. Step 1: Write the proportion equation
   69,709 : 152,759 = 152,759 : x
2. Step 2: Convert to fraction form
   69,709/152,759 = 152,759/x
3. Step 3: Cross multiply
   69,709x = 152,759 × 152,759
4. Step 4: Simplify right side
   69,709x = 23,335,312,081
5. Step 5: Solve for x
   x = 23,335,312,081/69,709
6. Step 6: Final answer
   x = 334,753.22