Finding the Third Proportional to 100,977.50 and 212,401

Step by Step Solution

1. Step 1: Write the proportion equation
   100,977.50 : 212,401 = 212,401 : x
2. Step 2: Convert to fraction form
   100,977.50/212,401 = 212,401/x
3. Step 3: Cross multiply
   100,977.50x = 212,401 × 212,401
4. Step 4: Simplify right side
   100,977.50x = 45,114,184,801
5. Step 5: Solve for x
   x = 45,114,184,801/100,977.50
6. Step 6: Final answer
   x = 446,774.63