Finding the Third Proportional to 174,939 and 381,532.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,939 : 381,532.50 = 381,532.50 : x
2. Step 2: Convert to fraction form
   174,939/381,532.50 = 381,532.50/x
3. Step 3: Cross multiply
   174,939x = 381,532.50 × 381,532.50
4. Step 4: Simplify right side
   174,939x = 145,567,048,556.25
5. Step 5: Solve for x
   x = 145,567,048,556.25/174,939
6. Step 6: Final answer
   x = 832,101.75