Finding the Third Proportional to 138,291 and 213,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,291 : 213,577.50 = 213,577.50 : x
2. Step 2: Convert to fraction form
   138,291/213,577.50 = 213,577.50/x
3. Step 3: Cross multiply
   138,291x = 213,577.50 × 213,577.50
4. Step 4: Simplify right side
   138,291x = 45,615,348,506.25
5. Step 5: Solve for x
   x = 45,615,348,506.25/138,291
6. Step 6: Final answer
   x = 329,850.45