Finding the Third Proportional to 69,713 and 152,767

Step by Step Solution

1. Step 1: Write the proportion equation
   69,713 : 152,767 = 152,767 : x
2. Step 2: Convert to fraction form
   69,713/152,767 = 152,767/x
3. Step 3: Cross multiply
   69,713x = 152,767 × 152,767
4. Step 4: Simplify right side
   69,713x = 23,337,756,289
5. Step 5: Solve for x
   x = 23,337,756,289/69,713
6. Step 6: Final answer
   x = 334,769.07