Finding the Third Proportional to 147,148 and 233,164

Step by Step Solution

1. Step 1: Write the proportion equation
   147,148 : 233,164 = 233,164 : x
2. Step 2: Convert to fraction form
   147,148/233,164 = 233,164/x
3. Step 3: Cross multiply
   147,148x = 233,164 × 233,164
4. Step 4: Simplify right side
   147,148x = 54,365,450,896
5. Step 5: Solve for x
   x = 54,365,450,896/147,148
6. Step 6: Final answer
   x = 369,461.02