Finding the Third Proportional to 100,974.50 and 212,411

Step by Step Solution

1. Step 1: Write the proportion equation
   100,974.50 : 212,411 = 212,411 : x
2. Step 2: Convert to fraction form
   100,974.50/212,411 = 212,411/x
3. Step 3: Cross multiply
   100,974.50x = 212,411 × 212,411
4. Step 4: Simplify right side
   100,974.50x = 45,118,432,921
5. Step 5: Solve for x
   x = 45,118,432,921/100,974.50
6. Step 6: Final answer
   x = 446,829.97