Finding the Third Proportional to 46,744.50 and 102,055.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,744.50 : 102,055.50 = 102,055.50 : x
2. Step 2: Convert to fraction form
   46,744.50/102,055.50 = 102,055.50/x
3. Step 3: Cross multiply
   46,744.50x = 102,055.50 × 102,055.50
4. Step 4: Simplify right side
   46,744.50x = 10,415,325,080.25
5. Step 5: Solve for x
   x = 10,415,325,080.25/46,744.50
6. Step 6: Final answer
   x = 222,813.92