Finding the Third Proportional to 106,164 and 231,060

Step by Step Solution

1. Step 1: Write the proportion equation
   106,164 : 231,060 = 231,060 : x
2. Step 2: Convert to fraction form
   106,164/231,060 = 231,060/x
3. Step 3: Cross multiply
   106,164x = 231,060 × 231,060
4. Step 4: Simplify right side
   106,164x = 53,388,723,600
5. Step 5: Solve for x
   x = 53,388,723,600/106,164
6. Step 6: Final answer
   x = 502,889.15