Finding the Third Proportional to 210,978 and 462,009.75

Step by Step Solution

1. Step 1: Write the proportion equation
   210,978 : 462,009.75 = 462,009.75 : x
2. Step 2: Convert to fraction form
   210,978/462,009.75 = 462,009.75/x
3. Step 3: Cross multiply
   210,978x = 462,009.75 × 462,009.75
4. Step 4: Simplify right side
   210,978x = 213,453,009,095.06
5. Step 5: Solve for x
   x = 213,453,009,095.06/210,978
6. Step 6: Final answer
   x = 1,011,731.12