Finding the Third Proportional to 174,286 and 380,553.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,286 : 380,553.50 = 380,553.50 : x
2. Step 2: Convert to fraction form
   174,286/380,553.50 = 380,553.50/x
3. Step 3: Cross multiply
   174,286x = 380,553.50 × 380,553.50
4. Step 4: Simplify right side
   174,286x = 144,820,966,362.25
5. Step 5: Solve for x
   x = 144,820,966,362.25/174,286
6. Step 6: Final answer
   x = 830,938.61