Finding the Third Proportional to 99,944 and 217,300

Step by Step Solution

1. Step 1: Write the proportion equation
   99,944 : 217,300 = 217,300 : x
2. Step 2: Convert to fraction form
   99,944/217,300 = 217,300/x
3. Step 3: Cross multiply
   99,944x = 217,300 × 217,300
4. Step 4: Simplify right side
   99,944x = 47,219,290,000
5. Step 5: Solve for x
   x = 47,219,290,000/99,944
6. Step 6: Final answer
   x = 472,457.48