Finding the Third Proportional to 99,547 and 215,698

Step by Step Solution

1. Step 1: Write the proportion equation
   99,547 : 215,698 = 215,698 : x
2. Step 2: Convert to fraction form
   99,547/215,698 = 215,698/x
3. Step 3: Cross multiply
   99,547x = 215,698 × 215,698
4. Step 4: Simplify right side
   99,547x = 46,525,627,204
5. Step 5: Solve for x
   x = 46,525,627,204/99,547
6. Step 6: Final answer
   x = 467,373.47