Finding the Third Proportional to 209,150.25 and 429,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   209,150.25 : 429,424.50 = 429,424.50 : x
2. Step 2: Convert to fraction form
   209,150.25/429,424.50 = 429,424.50/x
3. Step 3: Cross multiply
   209,150.25x = 429,424.50 × 429,424.50
4. Step 4: Simplify right side
   209,150.25x = 184,405,401,200.25
5. Step 5: Solve for x
   x = 184,405,401,200.25/209,150.25
6. Step 6: Final answer
   x = 881,688.65