Finding the Third Proportional to 159,685 and 347,719.75

Step by Step Solution

1. Step 1: Write the proportion equation
   159,685 : 347,719.75 = 347,719.75 : x
2. Step 2: Convert to fraction form
   159,685/347,719.75 = 347,719.75/x
3. Step 3: Cross multiply
   159,685x = 347,719.75 × 347,719.75
4. Step 4: Simplify right side
   159,685x = 120,909,024,540.06
5. Step 5: Solve for x
   x = 120,909,024,540.06/159,685
6. Step 6: Final answer
   x = 757,172.09