Finding the Third Proportional to 146,045.25 and 213,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,045.25 : 213,322.50 = 213,322.50 : x
2. Step 2: Convert to fraction form
   146,045.25/213,322.50 = 213,322.50/x
3. Step 3: Cross multiply
   146,045.25x = 213,322.50 × 213,322.50
4. Step 4: Simplify right side
   146,045.25x = 45,506,489,006.25
5. Step 5: Solve for x
   x = 45,506,489,006.25/146,045.25
6. Step 6: Final answer
   x = 311,591.71