Finding the Third Proportional to 212,553 and 325,525.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,553 : 325,525.50 = 325,525.50 : x
2. Step 2: Convert to fraction form
   212,553/325,525.50 = 325,525.50/x
3. Step 3: Cross multiply
   212,553x = 325,525.50 × 325,525.50
4. Step 4: Simplify right side
   212,553x = 105,966,851,150.25
5. Step 5: Solve for x
   x = 105,966,851,150.25/212,553
6. Step 6: Final answer
   x = 498,543.19