Finding the Third Proportional to 214,946 and 468,748

Step by Step Solution

1. Step 1: Write the proportion equation
   214,946 : 468,748 = 468,748 : x
2. Step 2: Convert to fraction form
   214,946/468,748 = 468,748/x
3. Step 3: Cross multiply
   214,946x = 468,748 × 468,748
4. Step 4: Simplify right side
   214,946x = 219,724,687,504
5. Step 5: Solve for x
   x = 219,724,687,504/214,946
6. Step 6: Final answer
   x = 1,022,232.04