Finding the Third Proportional to 1,377,276 and 1,847,214

Step by Step Solution

1. Step 1: Write the proportion equation
   1,377,276 : 1,847,214 = 1,847,214 : x
2. Step 2: Convert to fraction form
   1,377,276/1,847,214 = 1,847,214/x
3. Step 3: Cross multiply
   1,377,276x = 1,847,214 × 1,847,214
4. Step 4: Simplify right side
   1,377,276x = 3,412,199,561,796
5. Step 5: Solve for x
   x = 3,412,199,561,796/1,377,276
6. Step 6: Final answer
   x = 2,477,498.75