Finding the Third Proportional to 153,914 and 231,316

Step by Step Solution

1. Step 1: Write the proportion equation
   153,914 : 231,316 = 231,316 : x
2. Step 2: Convert to fraction form
   153,914/231,316 = 231,316/x
3. Step 3: Cross multiply
   153,914x = 231,316 × 231,316
4. Step 4: Simplify right side
   153,914x = 53,507,091,856
5. Step 5: Solve for x
   x = 53,507,091,856/153,914
6. Step 6: Final answer
   x = 347,642.79