Finding the Third Proportional to 138,100 and 213,255.25

Step by Step Solution

1. Step 1: Write the proportion equation
   138,100 : 213,255.25 = 213,255.25 : x
2. Step 2: Convert to fraction form
   138,100/213,255.25 = 213,255.25/x
3. Step 3: Cross multiply
   138,100x = 213,255.25 × 213,255.25
4. Step 4: Simplify right side
   138,100x = 45,477,801,652.56
5. Step 5: Solve for x
   x = 45,477,801,652.56/138,100
6. Step 6: Final answer
   x = 329,310.66