Finding the Third Proportional to 218,962 and 472,106

Step by Step Solution

1. Step 1: Write the proportion equation
   218,962 : 472,106 = 472,106 : x
2. Step 2: Convert to fraction form
   218,962/472,106 = 472,106/x
3. Step 3: Cross multiply
   218,962x = 472,106 × 472,106
4. Step 4: Simplify right side
   218,962x = 222,884,075,236
5. Step 5: Solve for x
   x = 222,884,075,236/218,962
6. Step 6: Final answer
   x = 1,017,912.13