Finding the Third Proportional to 177,290 and 384,117.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,290 : 384,117.50 = 384,117.50 : x
2. Step 2: Convert to fraction form
   177,290/384,117.50 = 384,117.50/x
3. Step 3: Cross multiply
   177,290x = 384,117.50 × 384,117.50
4. Step 4: Simplify right side
   177,290x = 147,546,253,806.25
5. Step 5: Solve for x
   x = 147,546,253,806.25/177,290
6. Step 6: Final answer
   x = 832,231.11