Finding the Third Proportional to 509,184 and 1,097,064

Step by Step Solution

1. Step 1: Write the proportion equation
   509,184 : 1,097,064 = 1,097,064 : x
2. Step 2: Convert to fraction form
   509,184/1,097,064 = 1,097,064/x
3. Step 3: Cross multiply
   509,184x = 1,097,064 × 1,097,064
4. Step 4: Simplify right side
   509,184x = 1,203,549,420,096
5. Step 5: Solve for x
   x = 1,203,549,420,096/509,184
6. Step 6: Final answer
   x = 2,363,682.72