Finding the Third Proportional to 210,213 and 325,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   210,213 : 325,642.50 = 325,642.50 : x
2. Step 2: Convert to fraction form
   210,213/325,642.50 = 325,642.50/x
3. Step 3: Cross multiply
   210,213x = 325,642.50 × 325,642.50
4. Step 4: Simplify right side
   210,213x = 106,043,037,806.25
5. Step 5: Solve for x
   x = 106,043,037,806.25/210,213
6. Step 6: Final answer
   x = 504,455.19