Finding the Third Proportional to 138,235 and 213,445.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,235 : 213,445.50 = 213,445.50 : x
2. Step 2: Convert to fraction form
   138,235/213,445.50 = 213,445.50/x
3. Step 3: Cross multiply
   138,235x = 213,445.50 × 213,445.50
4. Step 4: Simplify right side
   138,235x = 45,558,981,470.25
5. Step 5: Solve for x
   x = 45,558,981,470.25/138,235
6. Step 6: Final answer
   x = 329,576.31