Finding the Third Proportional to 138,369 and 208,825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,369 : 208,825.50 = 208,825.50 : x
2. Step 2: Convert to fraction form
   138,369/208,825.50 = 208,825.50/x
3. Step 3: Cross multiply
   138,369x = 208,825.50 × 208,825.50
4. Step 4: Simplify right side
   138,369x = 43,608,089,450.25
5. Step 5: Solve for x
   x = 43,608,089,450.25/138,369
6. Step 6: Final answer
   x = 315,157.94