Finding the Third Proportional to 213,088 and 463,040

Step by Step Solution

1. Step 1: Write the proportion equation
   213,088 : 463,040 = 463,040 : x
2. Step 2: Convert to fraction form
   213,088/463,040 = 463,040/x
3. Step 3: Cross multiply
   213,088x = 463,040 × 463,040
4. Step 4: Simplify right side
   213,088x = 214,406,041,600
5. Step 5: Solve for x
   x = 214,406,041,600/213,088
6. Step 6: Final answer
   x = 1,006,185.43