Finding the Third Proportional to 196,209 and 423,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,209 : 423,778.50 = 423,778.50 : x
2. Step 2: Convert to fraction form
   196,209/423,778.50 = 423,778.50/x
3. Step 3: Cross multiply
   196,209x = 423,778.50 × 423,778.50
4. Step 4: Simplify right side
   196,209x = 179,588,217,062.25
5. Step 5: Solve for x
   x = 179,588,217,062.25/196,209
6. Step 6: Final answer
   x = 915,290.42