Finding the Third Proportional to 138,312 and 213,610.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,312 : 213,610.50 = 213,610.50 : x
2. Step 2: Convert to fraction form
   138,312/213,610.50 = 213,610.50/x
3. Step 3: Cross multiply
   138,312x = 213,610.50 × 213,610.50
4. Step 4: Simplify right side
   138,312x = 45,629,445,710.25
5. Step 5: Solve for x
   x = 45,629,445,710.25/138,312
6. Step 6: Final answer
   x = 329,902.29