Finding the Third Proportional to 106,980 and 212,041.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,980 : 212,041.50 = 212,041.50 : x
2. Step 2: Convert to fraction form
   106,980/212,041.50 = 212,041.50/x
3. Step 3: Cross multiply
   106,980x = 212,041.50 × 212,041.50
4. Step 4: Simplify right side
   106,980x = 44,961,597,722.25
5. Step 5: Solve for x
   x = 44,961,597,722.25/106,980
6. Step 6: Final answer
   x = 420,280.40