Finding the Third Proportional to 102,411 and 222,796.13

Step by Step Solution

1. Step 1: Write the proportion equation
   102,411 : 222,796.13 = 222,796.13 : x
2. Step 2: Convert to fraction form
   102,411/222,796.13 = 222,796.13/x
3. Step 3: Cross multiply
   102,411x = 222,796.13 × 222,796.13
4. Step 4: Simplify right side
   102,411x = 49,638,113,315.02
5. Step 5: Solve for x
   x = 49,638,113,315.02/102,411
6. Step 6: Final answer
   x = 484,695.13