Finding the Third Proportional to 111,387 and 147,702

Step by Step Solution

1. Step 1: Write the proportion equation
   111,387 : 147,702 = 147,702 : x
2. Step 2: Convert to fraction form
   111,387/147,702 = 147,702/x
3. Step 3: Cross multiply
   111,387x = 147,702 × 147,702
4. Step 4: Simplify right side
   111,387x = 21,815,880,804
5. Step 5: Solve for x
   x = 21,815,880,804/111,387
6. Step 6: Final answer
   x = 195,856.62