Finding the Third Proportional to 49,264 and 102,030

Step by Step Solution

1. Step 1: Write the proportion equation
   49,264 : 102,030 = 102,030 : x
2. Step 2: Convert to fraction form
   49,264/102,030 = 102,030/x
3. Step 3: Cross multiply
   49,264x = 102,030 × 102,030
4. Step 4: Simplify right side
   49,264x = 10,410,120,900
5. Step 5: Solve for x
   x = 10,410,120,900/49,264
6. Step 6: Final answer
   x = 211,312.94