Finding the Third Proportional to 213,798 and 460,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,798 : 460,735.50 = 460,735.50 : x
2. Step 2: Convert to fraction form
   213,798/460,735.50 = 460,735.50/x
3. Step 3: Cross multiply
   213,798x = 460,735.50 × 460,735.50
4. Step 4: Simplify right side
   213,798x = 212,277,200,960.25
5. Step 5: Solve for x
   x = 212,277,200,960.25/213,798
6. Step 6: Final answer
   x = 992,886.75