Finding the Third Proportional to 102,504 and 210,111

Step by Step Solution

1. Step 1: Write the proportion equation
   102,504 : 210,111 = 210,111 : x
2. Step 2: Convert to fraction form
   102,504/210,111 = 210,111/x
3. Step 3: Cross multiply
   102,504x = 210,111 × 210,111
4. Step 4: Simplify right side
   102,504x = 44,146,632,321
5. Step 5: Solve for x
   x = 44,146,632,321/102,504
6. Step 6: Final answer
   x = 430,682.04