Finding the Third Proportional to 69,761 and 152,563

Step by Step Solution

1. Step 1: Write the proportion equation
   69,761 : 152,563 = 152,563 : x
2. Step 2: Convert to fraction form
   69,761/152,563 = 152,563/x
3. Step 3: Cross multiply
   69,761x = 152,563 × 152,563
4. Step 4: Simplify right side
   69,761x = 23,275,468,969
5. Step 5: Solve for x
   x = 23,275,468,969/69,761
6. Step 6: Final answer
   x = 333,645.86