Finding the Third Proportional to 231,066 and 309,070

Step by Step Solution

1. Step 1: Write the proportion equation
   231,066 : 309,070 = 309,070 : x
2. Step 2: Convert to fraction form
   231,066/309,070 = 309,070/x
3. Step 3: Cross multiply
   231,066x = 309,070 × 309,070
4. Step 4: Simplify right side
   231,066x = 95,524,264,900
5. Step 5: Solve for x
   x = 95,524,264,900/231,066
6. Step 6: Final answer
   x = 413,406.84