Finding the Third Proportional to 46,719 and 109,679.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,719 : 109,679.50 = 109,679.50 : x
2. Step 2: Convert to fraction form
   46,719/109,679.50 = 109,679.50/x
3. Step 3: Cross multiply
   46,719x = 109,679.50 × 109,679.50
4. Step 4: Simplify right side
   46,719x = 12,029,592,720.25
5. Step 5: Solve for x
   x = 12,029,592,720.25/46,719
6. Step 6: Final answer
   x = 257,488.23