Finding the Third Proportional to 147,156 and 233,172

Step by Step Solution

1. Step 1: Write the proportion equation
   147,156 : 233,172 = 233,172 : x
2. Step 2: Convert to fraction form
   147,156/233,172 = 233,172/x
3. Step 3: Cross multiply
   147,156x = 233,172 × 233,172
4. Step 4: Simplify right side
   147,156x = 54,369,181,584
5. Step 5: Solve for x
   x = 54,369,181,584/147,156
6. Step 6: Final answer
   x = 369,466.29