Finding the Third Proportional to 784,424 and 1,693,264

Step by Step Solution

1. Step 1: Write the proportion equation
   784,424 : 1,693,264 = 1,693,264 : x
2. Step 2: Convert to fraction form
   784,424/1,693,264 = 1,693,264/x
3. Step 3: Cross multiply
   784,424x = 1,693,264 × 1,693,264
4. Step 4: Simplify right side
   784,424x = 2,867,142,973,696
5. Step 5: Solve for x
   x = 2,867,142,973,696/784,424
6. Step 6: Final answer
   x = 3,655,093.39