Finding the Third Proportional to 209,191.50 and 429,410.25

Step by Step Solution

1. Step 1: Write the proportion equation
   209,191.50 : 429,410.25 = 429,410.25 : x
2. Step 2: Convert to fraction form
   209,191.50/429,410.25 = 429,410.25/x
3. Step 3: Cross multiply
   209,191.50x = 429,410.25 × 429,410.25
4. Step 4: Simplify right side
   209,191.50x = 184,393,162,805.06
5. Step 5: Solve for x
   x = 184,393,162,805.06/209,191.50
6. Step 6: Final answer
   x = 881,456.29