Finding the Third Proportional to 69,726 and 152,758

Step by Step Solution

1. Step 1: Write the proportion equation
   69,726 : 152,758 = 152,758 : x
2. Step 2: Convert to fraction form
   69,726/152,758 = 152,758/x
3. Step 3: Cross multiply
   69,726x = 152,758 × 152,758
4. Step 4: Simplify right side
   69,726x = 23,335,006,564
5. Step 5: Solve for x
   x = 23,335,006,564/69,726
6. Step 6: Final answer
   x = 334,667.22