Finding the Third Proportional to 69,762 and 152,562

Step by Step Solution

1. Step 1: Write the proportion equation
   69,762 : 152,562 = 152,562 : x
2. Step 2: Convert to fraction form
   69,762/152,562 = 152,562/x
3. Step 3: Cross multiply
   69,762x = 152,562 × 152,562
4. Step 4: Simplify right side
   69,762x = 23,275,163,844
5. Step 5: Solve for x
   x = 23,275,163,844/69,762
6. Step 6: Final answer
   x = 333,636.71