Finding the Third Proportional to 147,316 and 233,636

Step by Step Solution

1. Step 1: Write the proportion equation
   147,316 : 233,636 = 233,636 : x
2. Step 2: Convert to fraction form
   147,316/233,636 = 233,636/x
3. Step 3: Cross multiply
   147,316x = 233,636 × 233,636
4. Step 4: Simplify right side
   147,316x = 54,585,780,496
5. Step 5: Solve for x
   x = 54,585,780,496/147,316
6. Step 6: Final answer
   x = 370,535.32