Finding the Third Proportional to 147,216 and 233,208

Step by Step Solution

1. Step 1: Write the proportion equation
   147,216 : 233,208 = 233,208 : x
2. Step 2: Convert to fraction form
   147,216/233,208 = 233,208/x
3. Step 3: Cross multiply
   147,216x = 233,208 × 233,208
4. Step 4: Simplify right side
   147,216x = 54,385,971,264
5. Step 5: Solve for x
   x = 54,385,971,264/147,216
6. Step 6: Final answer
   x = 369,429.76