Finding the Third Proportional to 213,583 and 469,798.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,583 : 469,798.50 = 469,798.50 : x
2. Step 2: Convert to fraction form
   213,583/469,798.50 = 469,798.50/x
3. Step 3: Cross multiply
   213,583x = 469,798.50 × 469,798.50
4. Step 4: Simplify right side
   213,583x = 220,710,630,602.25
5. Step 5: Solve for x
   x = 220,710,630,602.25/213,583
6. Step 6: Final answer
   x = 1,033,371.71