Finding the Third Proportional to 101,738 and 212,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,738 : 212,769.50 = 212,769.50 : x
2. Step 2: Convert to fraction form
   101,738/212,769.50 = 212,769.50/x
3. Step 3: Cross multiply
   101,738x = 212,769.50 × 212,769.50
4. Step 4: Simplify right side
   101,738x = 45,270,860,130.25
5. Step 5: Solve for x
   x = 45,270,860,130.25/101,738
6. Step 6: Final answer
   x = 444,974.94