Finding the Third Proportional to 101,965 and 210,485.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,965 : 210,485.50 = 210,485.50 : x
2. Step 2: Convert to fraction form
   101,965/210,485.50 = 210,485.50/x
3. Step 3: Cross multiply
   101,965x = 210,485.50 × 210,485.50
4. Step 4: Simplify right side
   101,965x = 44,304,145,710.25
5. Step 5: Solve for x
   x = 44,304,145,710.25/101,965
6. Step 6: Final answer
   x = 434,503.46