Finding the Third Proportional to 164,031 and 218,061

Step by Step Solution

1. Step 1: Write the proportion equation
   164,031 : 218,061 = 218,061 : x
2. Step 2: Convert to fraction form
   164,031/218,061 = 218,061/x
3. Step 3: Cross multiply
   164,031x = 218,061 × 218,061
4. Step 4: Simplify right side
   164,031x = 47,550,599,721
5. Step 5: Solve for x
   x = 47,550,599,721/164,031
6. Step 6: Final answer
   x = 289,887.89