Finding the Third Proportional to 193,888.50 and 410,132

Step by Step Solution

1. Step 1: Write the proportion equation
   193,888.50 : 410,132 = 410,132 : x
2. Step 2: Convert to fraction form
   193,888.50/410,132 = 410,132/x
3. Step 3: Cross multiply
   193,888.50x = 410,132 × 410,132
4. Step 4: Simplify right side
   193,888.50x = 168,208,257,424
5. Step 5: Solve for x
   x = 168,208,257,424/193,888.50
6. Step 6: Final answer
   x = 867,551.49