Finding the Third Proportional to 536,196 and 1,178,658

Step by Step Solution

1. Step 1: Write the proportion equation
   536,196 : 1,178,658 = 1,178,658 : x
2. Step 2: Convert to fraction form
   536,196/1,178,658 = 1,178,658/x
3. Step 3: Cross multiply
   536,196x = 1,178,658 × 1,178,658
4. Step 4: Simplify right side
   536,196x = 1,389,234,680,964
5. Step 5: Solve for x
   x = 1,389,234,680,964/536,196
6. Step 6: Final answer
   x = 2,590,908.33