Finding the Third Proportional to 193,185 and 416,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,185 : 416,623.50 = 416,623.50 : x
2. Step 2: Convert to fraction form
   193,185/416,623.50 = 416,623.50/x
3. Step 3: Cross multiply
   193,185x = 416,623.50 × 416,623.50
4. Step 4: Simplify right side
   193,185x = 173,575,140,752.25
5. Step 5: Solve for x
   x = 173,575,140,752.25/193,185
6. Step 6: Final answer
   x = 898,491.81