Finding the Third Proportional to 193,438.50 and 420,084

Step by Step Solution

1. Step 1: Write the proportion equation
   193,438.50 : 420,084 = 420,084 : x
2. Step 2: Convert to fraction form
   193,438.50/420,084 = 420,084/x
3. Step 3: Cross multiply
   193,438.50x = 420,084 × 420,084
4. Step 4: Simplify right side
   193,438.50x = 176,470,567,056
5. Step 5: Solve for x
   x = 176,470,567,056/193,438.50
6. Step 6: Final answer
   x = 912,282.54