Finding the Third Proportional to 102,506 and 222,964

Step by Step Solution

1. Step 1: Write the proportion equation
   102,506 : 222,964 = 222,964 : x
2. Step 2: Convert to fraction form
   102,506/222,964 = 222,964/x
3. Step 3: Cross multiply
   102,506x = 222,964 × 222,964
4. Step 4: Simplify right side
   102,506x = 49,712,945,296
5. Step 5: Solve for x
   x = 49,712,945,296/102,506
6. Step 6: Final answer
   x = 484,975.96