Finding the Third Proportional to 76,152 and 111,628.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,152 : 111,628.50 = 111,628.50 : x
2. Step 2: Convert to fraction form
   76,152/111,628.50 = 111,628.50/x
3. Step 3: Cross multiply
   76,152x = 111,628.50 × 111,628.50
4. Step 4: Simplify right side
   76,152x = 12,460,922,012.25
5. Step 5: Solve for x
   x = 12,460,922,012.25/76,152
6. Step 6: Final answer
   x = 163,632.24