Finding the Third Proportional to 1,541,538 and 2,191,164

Step by Step Solution

1. Step 1: Write the proportion equation
   1,541,538 : 2,191,164 = 2,191,164 : x
2. Step 2: Convert to fraction form
   1,541,538/2,191,164 = 2,191,164/x
3. Step 3: Cross multiply
   1,541,538x = 2,191,164 × 2,191,164
4. Step 4: Simplify right side
   1,541,538x = 4,801,199,674,896
5. Step 5: Solve for x
   x = 4,801,199,674,896/1,541,538
6. Step 6: Final answer
   x = 3,114,551.62