Finding the Third Proportional to 174,226.50 and 380,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,226.50 : 380,164.50 = 380,164.50 : x
2. Step 2: Convert to fraction form
   174,226.50/380,164.50 = 380,164.50/x
3. Step 3: Cross multiply
   174,226.50x = 380,164.50 × 380,164.50
4. Step 4: Simplify right side
   174,226.50x = 144,525,047,060.25
5. Step 5: Solve for x
   x = 144,525,047,060.25/174,226.50
6. Step 6: Final answer
   x = 829,523.91