Finding the Third Proportional to 69,758 and 152,557

Step by Step Solution

1. Step 1: Write the proportion equation
   69,758 : 152,557 = 152,557 : x
2. Step 2: Convert to fraction form
   69,758/152,557 = 152,557/x
3. Step 3: Cross multiply
   69,758x = 152,557 × 152,557
4. Step 4: Simplify right side
   69,758x = 23,273,638,249
5. Step 5: Solve for x
   x = 23,273,638,249/69,758
6. Step 6: Final answer
   x = 333,633.97