Finding the Third Proportional to 213,767.86 and 464,498.30

Step by Step Solution

1. Step 1: Write the proportion equation
   213,767.86 : 464,498.30 = 464,498.30 : x
2. Step 2: Convert to fraction form
   213,767.86/464,498.30 = 464,498.30/x
3. Step 3: Cross multiply
   213,767.86x = 464,498.30 × 464,498.30
4. Step 4: Simplify right side
   213,767.86x = 215,758,667,799.78
5. Step 5: Solve for x
   x = 215,758,667,799.78/213,767.86
6. Step 6: Final answer
   x = 1,009,312.95