Finding the Third Proportional to 138,645.50 and 214,082

Step by Step Solution

1. Step 1: Write the proportion equation
   138,645.50 : 214,082 = 214,082 : x
2. Step 2: Convert to fraction form
   138,645.50/214,082 = 214,082/x
3. Step 3: Cross multiply
   138,645.50x = 214,082 × 214,082
4. Step 4: Simplify right side
   138,645.50x = 45,831,102,724
5. Step 5: Solve for x
   x = 45,831,102,724/138,645.50
6. Step 6: Final answer
   x = 330,563.22