Finding the Third Proportional to 107,196 and 233,440

Step by Step Solution

1. Step 1: Write the proportion equation
   107,196 : 233,440 = 233,440 : x
2. Step 2: Convert to fraction form
   107,196/233,440 = 233,440/x
3. Step 3: Cross multiply
   107,196x = 233,440 × 233,440
4. Step 4: Simplify right side
   107,196x = 54,494,233,600
5. Step 5: Solve for x
   x = 54,494,233,600/107,196
6. Step 6: Final answer
   x = 508,360.70