Finding the Third Proportional to 98,580 and 213,768.38

Step by Step Solution

1. Step 1: Write the proportion equation
   98,580 : 213,768.38 = 213,768.38 : x
2. Step 2: Convert to fraction form
   98,580/213,768.38 = 213,768.38/x
3. Step 3: Cross multiply
   98,580x = 213,768.38 × 213,768.38
4. Step 4: Simplify right side
   98,580x = 45,696,918,150.14
5. Step 5: Solve for x
   x = 45,696,918,150.14/98,580
6. Step 6: Final answer
   x = 463,551.61