Finding the Third Proportional to 138,327 and 212,716.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,327 : 212,716.50 = 212,716.50 : x
2. Step 2: Convert to fraction form
   138,327/212,716.50 = 212,716.50/x
3. Step 3: Cross multiply
   138,327x = 212,716.50 × 212,716.50
4. Step 4: Simplify right side
   138,327x = 45,248,309,372.25
5. Step 5: Solve for x
   x = 45,248,309,372.25/138,327
6. Step 6: Final answer
   x = 327,111.19