Finding the Third Proportional to 65,714 and 100,199

Step by Step Solution

1. Step 1: Write the proportion equation
   65,714 : 100,199 = 100,199 : x
2. Step 2: Convert to fraction form
   65,714/100,199 = 100,199/x
3. Step 3: Cross multiply
   65,714x = 100,199 × 100,199
4. Step 4: Simplify right side
   65,714x = 10,039,839,601
5. Step 5: Solve for x
   x = 10,039,839,601/65,714
6. Step 6: Final answer
   x = 152,780.83