Finding the Third Proportional to 147,154 and 233,168

Step by Step Solution

1. Step 1: Write the proportion equation
   147,154 : 233,168 = 233,168 : x
2. Step 2: Convert to fraction form
   147,154/233,168 = 233,168/x
3. Step 3: Cross multiply
   147,154x = 233,168 × 233,168
4. Step 4: Simplify right side
   147,154x = 54,367,316,224
5. Step 5: Solve for x
   x = 54,367,316,224/147,154
6. Step 6: Final answer
   x = 369,458.64