Finding the Third Proportional to 138,723.50 and 208,104

Step by Step Solution

1. Step 1: Write the proportion equation
   138,723.50 : 208,104 = 208,104 : x
2. Step 2: Convert to fraction form
   138,723.50/208,104 = 208,104/x
3. Step 3: Cross multiply
   138,723.50x = 208,104 × 208,104
4. Step 4: Simplify right side
   138,723.50x = 43,307,274,816
5. Step 5: Solve for x
   x = 43,307,274,816/138,723.50
6. Step 6: Final answer
   x = 312,184.13