Finding the Third Proportional to 1,582,080 and 2,355,264

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582,080 : 2,355,264 = 2,355,264 : x
2. Step 2: Convert to fraction form
   1,582,080/2,355,264 = 2,355,264/x
3. Step 3: Cross multiply
   1,582,080x = 2,355,264 × 2,355,264
4. Step 4: Simplify right side
   1,582,080x = 5,547,268,509,696
5. Step 5: Solve for x
   x = 5,547,268,509,696/1,582,080
6. Step 6: Final answer
   x = 3,506,313.53