Finding the Third Proportional to 116,934 and 256,882.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,934 : 256,882.50 = 256,882.50 : x
2. Step 2: Convert to fraction form
   116,934/256,882.50 = 256,882.50/x
3. Step 3: Cross multiply
   116,934x = 256,882.50 × 256,882.50
4. Step 4: Simplify right side
   116,934x = 65,988,618,806.25
5. Step 5: Solve for x
   x = 65,988,618,806.25/116,934
6. Step 6: Final answer
   x = 564,323.63