Finding the Third Proportional to 213,645 and 335,133.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,645 : 335,133.50 = 335,133.50 : x
2. Step 2: Convert to fraction form
   213,645/335,133.50 = 335,133.50/x
3. Step 3: Cross multiply
   213,645x = 335,133.50 × 335,133.50
4. Step 4: Simplify right side
   213,645x = 112,314,462,822.25
5. Step 5: Solve for x
   x = 112,314,462,822.25/213,645
6. Step 6: Final answer
   x = 525,706.02