Finding the Third Proportional to 214,968 and 468,168

Step by Step Solution

1. Step 1: Write the proportion equation
   214,968 : 468,168 = 468,168 : x
2. Step 2: Convert to fraction form
   214,968/468,168 = 468,168/x
3. Step 3: Cross multiply
   214,968x = 468,168 × 468,168
4. Step 4: Simplify right side
   214,968x = 219,181,276,224
5. Step 5: Solve for x
   x = 219,181,276,224/214,968
6. Step 6: Final answer
   x = 1,019,599.55