Finding the Third Proportional to 138,160 and 213,345.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,160 : 213,345.50 = 213,345.50 : x
2. Step 2: Convert to fraction form
   138,160/213,345.50 = 213,345.50/x
3. Step 3: Cross multiply
   138,160x = 213,345.50 × 213,345.50
4. Step 4: Simplify right side
   138,160x = 45,516,302,370.25
5. Step 5: Solve for x
   x = 45,516,302,370.25/138,160
6. Step 6: Final answer
   x = 329,446.31