Finding the Third Proportional to 142,573.50 and 213,432

Step by Step Solution

1. Step 1: Write the proportion equation
   142,573.50 : 213,432 = 213,432 : x
2. Step 2: Convert to fraction form
   142,573.50/213,432 = 213,432/x
3. Step 3: Cross multiply
   142,573.50x = 213,432 × 213,432
4. Step 4: Simplify right side
   142,573.50x = 45,553,218,624
5. Step 5: Solve for x
   x = 45,553,218,624/142,573.50
6. Step 6: Final answer
   x = 319,506.91