Finding the Third Proportional to 460,932 and 691,410

Step by Step Solution

1. Step 1: Write the proportion equation
   460,932 : 691,410 = 691,410 : x
2. Step 2: Convert to fraction form
   460,932/691,410 = 691,410/x
3. Step 3: Cross multiply
   460,932x = 691,410 × 691,410
4. Step 4: Simplify right side
   460,932x = 478,047,788,100
5. Step 5: Solve for x
   x = 478,047,788,100/460,932
6. Step 6: Final answer
   x = 1,037,133.00