Finding the Third Proportional to 262,026 and 615,942

Step by Step Solution

1. Step 1: Write the proportion equation
   262,026 : 615,942 = 615,942 : x
2. Step 2: Convert to fraction form
   262,026/615,942 = 615,942/x
3. Step 3: Cross multiply
   262,026x = 615,942 × 615,942
4. Step 4: Simplify right side
   262,026x = 379,384,547,364
5. Step 5: Solve for x
   x = 379,384,547,364/262,026
6. Step 6: Final answer
   x = 1,447,888.94