Finding the Third Proportional to 174,730 and 382,173.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,730 : 382,173.50 = 382,173.50 : x
2. Step 2: Convert to fraction form
   174,730/382,173.50 = 382,173.50/x
3. Step 3: Cross multiply
   174,730x = 382,173.50 × 382,173.50
4. Step 4: Simplify right side
   174,730x = 146,056,584,102.25
5. Step 5: Solve for x
   x = 146,056,584,102.25/174,730
6. Step 6: Final answer
   x = 835,898.72