Finding the Third Proportional to 98,464 and 213,632

Step by Step Solution

1. Step 1: Write the proportion equation
   98,464 : 213,632 = 213,632 : x
2. Step 2: Convert to fraction form
   98,464/213,632 = 213,632/x
3. Step 3: Cross multiply
   98,464x = 213,632 × 213,632
4. Step 4: Simplify right side
   98,464x = 45,638,631,424
5. Step 5: Solve for x
   x = 45,638,631,424/98,464
6. Step 6: Final answer
   x = 463,505.76