Finding the Third Proportional to 138,645 and 208,951.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,645 : 208,951.50 = 208,951.50 : x
2. Step 2: Convert to fraction form
   138,645/208,951.50 = 208,951.50/x
3. Step 3: Cross multiply
   138,645x = 208,951.50 × 208,951.50
4. Step 4: Simplify right side
   138,645x = 43,660,729,352.25
5. Step 5: Solve for x
   x = 43,660,729,352.25/138,645
6. Step 6: Final answer
   x = 314,910.23