Finding the Third Proportional to 147,196.50 and 233,459

Step by Step Solution

1. Step 1: Write the proportion equation
   147,196.50 : 233,459 = 233,459 : x
2. Step 2: Convert to fraction form
   147,196.50/233,459 = 233,459/x
3. Step 3: Cross multiply
   147,196.50x = 233,459 × 233,459
4. Step 4: Simplify right side
   147,196.50x = 54,503,104,681
5. Step 5: Solve for x
   x = 54,503,104,681/147,196.50
6. Step 6: Final answer
   x = 370,274.46