Finding the Third Proportional to 214,598 and 465,034

Step by Step Solution

1. Step 1: Write the proportion equation
   214,598 : 465,034 = 465,034 : x
2. Step 2: Convert to fraction form
   214,598/465,034 = 465,034/x
3. Step 3: Cross multiply
   214,598x = 465,034 × 465,034
4. Step 4: Simplify right side
   214,598x = 216,256,621,156
5. Step 5: Solve for x
   x = 216,256,621,156/214,598
6. Step 6: Final answer
   x = 1,007,728.97