Finding the Third Proportional to 103,982.50 and 212,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,982.50 : 212,892.50 = 212,892.50 : x
2. Step 2: Convert to fraction form
   103,982.50/212,892.50 = 212,892.50/x
3. Step 3: Cross multiply
   103,982.50x = 212,892.50 × 212,892.50
4. Step 4: Simplify right side
   103,982.50x = 45,323,216,556.25
5. Step 5: Solve for x
   x = 45,323,216,556.25/103,982.50
6. Step 6: Final answer
   x = 435,873.50