Finding the Third Proportional to 470,166 and 716,265.75

Step by Step Solution

1. Step 1: Write the proportion equation
   470,166 : 716,265.75 = 716,265.75 : x
2. Step 2: Convert to fraction form
   470,166/716,265.75 = 716,265.75/x
3. Step 3: Cross multiply
   470,166x = 716,265.75 × 716,265.75
4. Step 4: Simplify right side
   470,166x = 513,036,624,623.06
5. Step 5: Solve for x
   x = 513,036,624,623.06/470,166
6. Step 6: Final answer
   x = 1,091,181.89