Finding the Third Proportional to 138,280.50 and 208,692

Step by Step Solution

1. Step 1: Write the proportion equation
   138,280.50 : 208,692 = 208,692 : x
2. Step 2: Convert to fraction form
   138,280.50/208,692 = 208,692/x
3. Step 3: Cross multiply
   138,280.50x = 208,692 × 208,692
4. Step 4: Simplify right side
   138,280.50x = 43,552,350,864
5. Step 5: Solve for x
   x = 43,552,350,864/138,280.50
6. Step 6: Final answer
   x = 314,956.56