Finding the Third Proportional to 147,224 and 233,500

Step by Step Solution

1. Step 1: Write the proportion equation
   147,224 : 233,500 = 233,500 : x
2. Step 2: Convert to fraction form
   147,224/233,500 = 233,500/x
3. Step 3: Cross multiply
   147,224x = 233,500 × 233,500
4. Step 4: Simplify right side
   147,224x = 54,522,250,000
5. Step 5: Solve for x
   x = 54,522,250,000/147,224
6. Step 6: Final answer
   x = 370,335.34