Finding the Third Proportional to 359,463.50 and 769,410

Step by Step Solution

1. Step 1: Write the proportion equation
   359,463.50 : 769,410 = 769,410 : x
2. Step 2: Convert to fraction form
   359,463.50/769,410 = 769,410/x
3. Step 3: Cross multiply
   359,463.50x = 769,410 × 769,410
4. Step 4: Simplify right side
   359,463.50x = 591,991,748,100
5. Step 5: Solve for x
   x = 591,991,748,100/359,463.50
6. Step 6: Final answer
   x = 1,646,875.82