Finding the Third Proportional to 145,834.50 and 196,152

Step by Step Solution

1. Step 1: Write the proportion equation
   145,834.50 : 196,152 = 196,152 : x
2. Step 2: Convert to fraction form
   145,834.50/196,152 = 196,152/x
3. Step 3: Cross multiply
   145,834.50x = 196,152 × 196,152
4. Step 4: Simplify right side
   145,834.50x = 38,475,607,104
5. Step 5: Solve for x
   x = 38,475,607,104/145,834.50
6. Step 6: Final answer
   x = 263,830.62