Finding the Third Proportional to 101,974 and 218,710

Step by Step Solution

1. Step 1: Write the proportion equation
   101,974 : 218,710 = 218,710 : x
2. Step 2: Convert to fraction form
   101,974/218,710 = 218,710/x
3. Step 3: Cross multiply
   101,974x = 218,710 × 218,710
4. Step 4: Simplify right side
   101,974x = 47,834,064,100
5. Step 5: Solve for x
   x = 47,834,064,100/101,974
6. Step 6: Final answer
   x = 469,080.98