Finding the Third Proportional to 147,146 and 233,156

Step by Step Solution

1. Step 1: Write the proportion equation
   147,146 : 233,156 = 233,156 : x
2. Step 2: Convert to fraction form
   147,146/233,156 = 233,156/x
3. Step 3: Cross multiply
   147,146x = 233,156 × 233,156
4. Step 4: Simplify right side
   147,146x = 54,361,720,336
5. Step 5: Solve for x
   x = 54,361,720,336/147,146
6. Step 6: Final answer
   x = 369,440.69