Finding the Third Proportional to 213,705 and 338,392.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,705 : 338,392.50 = 338,392.50 : x
2. Step 2: Convert to fraction form
   213,705/338,392.50 = 338,392.50/x
3. Step 3: Cross multiply
   213,705x = 338,392.50 × 338,392.50
4. Step 4: Simplify right side
   213,705x = 114,509,484,056.25
5. Step 5: Solve for x
   x = 114,509,484,056.25/213,705
6. Step 6: Final answer
   x = 535,829.69