Finding the Third Proportional to 76,162.50 and 118,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,162.50 : 118,405.50 = 118,405.50 : x
2. Step 2: Convert to fraction form
   76,162.50/118,405.50 = 118,405.50/x
3. Step 3: Cross multiply
   76,162.50x = 118,405.50 × 118,405.50
4. Step 4: Simplify right side
   76,162.50x = 14,019,862,430.25
5. Step 5: Solve for x
   x = 14,019,862,430.25/76,162.50
6. Step 6: Final answer
   x = 184,078.29