Finding the Third Proportional to 174,780 and 382,907.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,780 : 382,907.50 = 382,907.50 : x
2. Step 2: Convert to fraction form
   174,780/382,907.50 = 382,907.50/x
3. Step 3: Cross multiply
   174,780x = 382,907.50 × 382,907.50
4. Step 4: Simplify right side
   174,780x = 146,618,153,556.25
5. Step 5: Solve for x
   x = 146,618,153,556.25/174,780
6. Step 6: Final answer
   x = 838,872.60