Finding the Third Proportional to 116,193 and 177,628.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,193 : 177,628.50 = 177,628.50 : x
2. Step 2: Convert to fraction form
   116,193/177,628.50 = 177,628.50/x
3. Step 3: Cross multiply
   116,193x = 177,628.50 × 177,628.50
4. Step 4: Simplify right side
   116,193x = 31,551,884,012.25
5. Step 5: Solve for x
   x = 31,551,884,012.25/116,193
6. Step 6: Final answer
   x = 271,547.20