Finding the Third Proportional to 114,657 and 173,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,657 : 173,719.50 = 173,719.50 : x
2. Step 2: Convert to fraction form
   114,657/173,719.50 = 173,719.50/x
3. Step 3: Cross multiply
   114,657x = 173,719.50 × 173,719.50
4. Step 4: Simplify right side
   114,657x = 30,178,464,680.25
5. Step 5: Solve for x
   x = 30,178,464,680.25/114,657
6. Step 6: Final answer
   x = 263,206.47