Finding the Third Proportional to 106,870 and 229,832

Step by Step Solution

1. Step 1: Write the proportion equation
   106,870 : 229,832 = 229,832 : x
2. Step 2: Convert to fraction form
   106,870/229,832 = 229,832/x
3. Step 3: Cross multiply
   106,870x = 229,832 × 229,832
4. Step 4: Simplify right side
   106,870x = 52,822,748,224
5. Step 5: Solve for x
   x = 52,822,748,224/106,870
6. Step 6: Final answer
   x = 494,271.06