Finding the Third Proportional to 102,419.50 and 213,014

Step by Step Solution

1. Step 1: Write the proportion equation
   102,419.50 : 213,014 = 213,014 : x
2. Step 2: Convert to fraction form
   102,419.50/213,014 = 213,014/x
3. Step 3: Cross multiply
   102,419.50x = 213,014 × 213,014
4. Step 4: Simplify right side
   102,419.50x = 45,374,964,196
5. Step 5: Solve for x
   x = 45,374,964,196/102,419.50
6. Step 6: Final answer
   x = 443,030.52