Finding the Third Proportional to 99,798 and 215,148

Step by Step Solution

1. Step 1: Write the proportion equation
   99,798 : 215,148 = 215,148 : x
2. Step 2: Convert to fraction form
   99,798/215,148 = 215,148/x
3. Step 3: Cross multiply
   99,798x = 215,148 × 215,148
4. Step 4: Simplify right side
   99,798x = 46,288,661,904
5. Step 5: Solve for x
   x = 46,288,661,904/99,798
6. Step 6: Final answer
   x = 463,823.54