Finding the Third Proportional to 147,156 and 233,171

Step by Step Solution

1. Step 1: Write the proportion equation
   147,156 : 233,171 = 233,171 : x
2. Step 2: Convert to fraction form
   147,156/233,171 = 233,171/x
3. Step 3: Cross multiply
   147,156x = 233,171 × 233,171
4. Step 4: Simplify right side
   147,156x = 54,368,715,241
5. Step 5: Solve for x
   x = 54,368,715,241/147,156
6. Step 6: Final answer
   x = 369,463.12