Finding the Third Proportional to 69,682 and 152,714

Step by Step Solution

1. Step 1: Write the proportion equation
   69,682 : 152,714 = 152,714 : x
2. Step 2: Convert to fraction form
   69,682/152,714 = 152,714/x
3. Step 3: Cross multiply
   69,682x = 152,714 × 152,714
4. Step 4: Simplify right side
   69,682x = 23,321,565,796
5. Step 5: Solve for x
   x = 23,321,565,796/69,682
6. Step 6: Final answer
   x = 334,685.65