Finding the Third Proportional to 147,158 and 233,174

Step by Step Solution

1. Step 1: Write the proportion equation
   147,158 : 233,174 = 233,174 : x
2. Step 2: Convert to fraction form
   147,158/233,174 = 233,174/x
3. Step 3: Cross multiply
   147,158x = 233,174 × 233,174
4. Step 4: Simplify right side
   147,158x = 54,370,114,276
5. Step 5: Solve for x
   x = 54,370,114,276/147,158
6. Step 6: Final answer
   x = 369,467.61