Finding the Third Proportional to 231,072 and 309,076

Step by Step Solution

1. Step 1: Write the proportion equation
   231,072 : 309,076 = 309,076 : x
2. Step 2: Convert to fraction form
   231,072/309,076 = 309,076/x
3. Step 3: Cross multiply
   231,072x = 309,076 × 309,076
4. Step 4: Simplify right side
   231,072x = 95,527,973,776
5. Step 5: Solve for x
   x = 95,527,973,776/231,072
6. Step 6: Final answer
   x = 413,412.16