Finding the Third Proportional to 214,046 and 468,692

Step by Step Solution

1. Step 1: Write the proportion equation
   214,046 : 468,692 = 468,692 : x
2. Step 2: Convert to fraction form
   214,046/468,692 = 468,692/x
3. Step 3: Cross multiply
   214,046x = 468,692 × 468,692
4. Step 4: Simplify right side
   214,046x = 219,672,190,864
5. Step 5: Solve for x
   x = 219,672,190,864/214,046
6. Step 6: Final answer
   x = 1,026,284.96