Finding the Third Proportional to 174,156 and 269,091

Step by Step Solution

1. Step 1: Write the proportion equation
   174,156 : 269,091 = 269,091 : x
2. Step 2: Convert to fraction form
   174,156/269,091 = 269,091/x
3. Step 3: Cross multiply
   174,156x = 269,091 × 269,091
4. Step 4: Simplify right side
   174,156x = 72,409,966,281
5. Step 5: Solve for x
   x = 72,409,966,281/174,156
6. Step 6: Final answer
   x = 415,776.47