Finding the Third Proportional to 1,762,600 and 2,378,166

Step by Step Solution

1. Step 1: Write the proportion equation
   1,762,600 : 2,378,166 = 2,378,166 : x
2. Step 2: Convert to fraction form
   1,762,600/2,378,166 = 2,378,166/x
3. Step 3: Cross multiply
   1,762,600x = 2,378,166 × 2,378,166
4. Step 4: Simplify right side
   1,762,600x = 5,655,673,523,556
5. Step 5: Solve for x
   x = 5,655,673,523,556/1,762,600
6. Step 6: Final answer
   x = 3,208,710.72