Finding the Third Proportional to 214,962 and 464,946

Step by Step Solution

1. Step 1: Write the proportion equation
   214,962 : 464,946 = 464,946 : x
2. Step 2: Convert to fraction form
   214,962/464,946 = 464,946/x
3. Step 3: Cross multiply
   214,962x = 464,946 × 464,946
4. Step 4: Simplify right side
   214,962x = 216,174,782,916
5. Step 5: Solve for x
   x = 216,174,782,916/214,962
6. Step 6: Final answer
   x = 1,005,641.85