Finding the Third Proportional to 359,820 and 789,624

Step by Step Solution

1. Step 1: Write the proportion equation
   359,820 : 789,624 = 789,624 : x
2. Step 2: Convert to fraction form
   359,820/789,624 = 789,624/x
3. Step 3: Cross multiply
   359,820x = 789,624 × 789,624
4. Step 4: Simplify right side
   359,820x = 623,506,061,376
5. Step 5: Solve for x
   x = 623,506,061,376/359,820
6. Step 6: Final answer
   x = 1,732,827.70