Finding the Third Proportional to 300,094 and 464,516

Step by Step Solution

1. Step 1: Write the proportion equation
   300,094 : 464,516 = 464,516 : x
2. Step 2: Convert to fraction form
   300,094/464,516 = 464,516/x
3. Step 3: Cross multiply
   300,094x = 464,516 × 464,516
4. Step 4: Simplify right side
   300,094x = 215,775,114,256
5. Step 5: Solve for x
   x = 215,775,114,256/300,094
6. Step 6: Final answer
   x = 719,025.09