Finding the Third Proportional to 76,071 and 111,289.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,071 : 111,289.50 = 111,289.50 : x
2. Step 2: Convert to fraction form
   76,071/111,289.50 = 111,289.50/x
3. Step 3: Cross multiply
   76,071x = 111,289.50 × 111,289.50
4. Step 4: Simplify right side
   76,071x = 12,385,352,810.25
5. Step 5: Solve for x
   x = 12,385,352,810.25/76,071
6. Step 6: Final answer
   x = 162,813.07