Finding the Third Proportional to 820,432 and 1,772,314

Step by Step Solution

1. Step 1: Write the proportion equation
   820,432 : 1,772,314 = 1,772,314 : x
2. Step 2: Convert to fraction form
   820,432/1,772,314 = 1,772,314/x
3. Step 3: Cross multiply
   820,432x = 1,772,314 × 1,772,314
4. Step 4: Simplify right side
   820,432x = 3,141,096,914,596
5. Step 5: Solve for x
   x = 3,141,096,914,596/820,432
6. Step 6: Final answer
   x = 3,828,588.98