Finding the Third Proportional to 2,978,690 and 4,602,832

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978,690 : 4,602,832 = 4,602,832 : x
2. Step 2: Convert to fraction form
   2,978,690/4,602,832 = 4,602,832/x
3. Step 3: Cross multiply
   2,978,690x = 4,602,832 × 4,602,832
4. Step 4: Simplify right side
   2,978,690x = 21,186,062,420,224
5. Step 5: Solve for x
   x = 21,186,062,420,224/2,978,690
6. Step 6: Final answer
   x = 7,112,543.57