Finding the Third Proportional to 1,547,838 and 2,345,165

Step by Step Solution

1. Step 1: Write the proportion equation
   1,547,838 : 2,345,165 = 2,345,165 : x
2. Step 2: Convert to fraction form
   1,547,838/2,345,165 = 2,345,165/x
3. Step 3: Cross multiply
   1,547,838x = 2,345,165 × 2,345,165
4. Step 4: Simplify right side
   1,547,838x = 5,499,798,877,225
5. Step 5: Solve for x
   x = 5,499,798,877,225/1,547,838
6. Step 6: Final answer
   x = 3,553,213.50