Finding the Third Proportional to 676,984 and 1,582,156

Step by Step Solution

1. Step 1: Write the proportion equation
   676,984 : 1,582,156 = 1,582,156 : x
2. Step 2: Convert to fraction form
   676,984/1,582,156 = 1,582,156/x
3. Step 3: Cross multiply
   676,984x = 1,582,156 × 1,582,156
4. Step 4: Simplify right side
   676,984x = 2,503,217,608,336
5. Step 5: Solve for x
   x = 2,503,217,608,336/676,984
6. Step 6: Final answer
   x = 3,697,602.32