Finding the Third Proportional to 151,566 and 210,738

Step by Step Solution

1. Step 1: Write the proportion equation
   151,566 : 210,738 = 210,738 : x
2. Step 2: Convert to fraction form
   151,566/210,738 = 210,738/x
3. Step 3: Cross multiply
   151,566x = 210,738 × 210,738
4. Step 4: Simplify right side
   151,566x = 44,410,504,644
5. Step 5: Solve for x
   x = 44,410,504,644/151,566
6. Step 6: Final answer
   x = 293,011.00