Finding the Third Proportional to 234,706 and 506,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   234,706 : 506,823.50 = 506,823.50 : x
2. Step 2: Convert to fraction form
   234,706/506,823.50 = 506,823.50/x
3. Step 3: Cross multiply
   234,706x = 506,823.50 × 506,823.50
4. Step 4: Simplify right side
   234,706x = 256,870,060,152.25
5. Step 5: Solve for x
   x = 256,870,060,152.25/234,706
6. Step 6: Final answer
   x = 1,094,433.29