Finding the Third Proportional to 107,311 and 233,140

Step by Step Solution

1. Step 1: Write the proportion equation
   107,311 : 233,140 = 233,140 : x
2. Step 2: Convert to fraction form
   107,311/233,140 = 233,140/x
3. Step 3: Cross multiply
   107,311x = 233,140 × 233,140
4. Step 4: Simplify right side
   107,311x = 54,354,259,600
5. Step 5: Solve for x
   x = 54,354,259,600/107,311
6. Step 6: Final answer
   x = 506,511.54