Finding the Third Proportional to 402,264 and 832,362

Step by Step Solution

1. Step 1: Write the proportion equation
   402,264 : 832,362 = 832,362 : x
2. Step 2: Convert to fraction form
   402,264/832,362 = 832,362/x
3. Step 3: Cross multiply
   402,264x = 832,362 × 832,362
4. Step 4: Simplify right side
   402,264x = 692,826,499,044
5. Step 5: Solve for x
   x = 692,826,499,044/402,264
6. Step 6: Final answer
   x = 1,722,317.93