Finding the Third Proportional to 107,316 and 233,086

Step by Step Solution

1. Step 1: Write the proportion equation
   107,316 : 233,086 = 233,086 : x
2. Step 2: Convert to fraction form
   107,316/233,086 = 233,086/x
3. Step 3: Cross multiply
   107,316x = 233,086 × 233,086
4. Step 4: Simplify right side
   107,316x = 54,329,083,396
5. Step 5: Solve for x
   x = 54,329,083,396/107,316
6. Step 6: Final answer
   x = 506,253.34