Finding the Third Proportional to 947,916 and 2,105,784

Step by Step Solution

1. Step 1: Write the proportion equation
   947,916 : 2,105,784 = 2,105,784 : x
2. Step 2: Convert to fraction form
   947,916/2,105,784 = 2,105,784/x
3. Step 3: Cross multiply
   947,916x = 2,105,784 × 2,105,784
4. Step 4: Simplify right side
   947,916x = 4,434,326,254,656
5. Step 5: Solve for x
   x = 4,434,326,254,656/947,916
6. Step 6: Final answer
   x = 4,677,973.84