Finding the Third Proportional to 107,352 and 233,172

Step by Step Solution

1. Step 1: Write the proportion equation
   107,352 : 233,172 = 233,172 : x
2. Step 2: Convert to fraction form
   107,352/233,172 = 233,172/x
3. Step 3: Cross multiply
   107,352x = 233,172 × 233,172
4. Step 4: Simplify right side
   107,352x = 54,369,181,584
5. Step 5: Solve for x
   x = 54,369,181,584/107,352
6. Step 6: Final answer
   x = 506,457.09