Finding the Third Proportional to 138,295.50 and 208,716

Step by Step Solution

1. Step 1: Write the proportion equation
   138,295.50 : 208,716 = 208,716 : x
2. Step 2: Convert to fraction form
   138,295.50/208,716 = 208,716/x
3. Step 3: Cross multiply
   138,295.50x = 208,716 × 208,716
4. Step 4: Simplify right side
   138,295.50x = 43,562,368,656
5. Step 5: Solve for x
   x = 43,562,368,656/138,295.50
6. Step 6: Final answer
   x = 314,994.84