Finding the Third Proportional to 76,014.50 and 117,712

Step by Step Solution

1. Step 1: Write the proportion equation
   76,014.50 : 117,712 = 117,712 : x
2. Step 2: Convert to fraction form
   76,014.50/117,712 = 117,712/x
3. Step 3: Cross multiply
   76,014.50x = 117,712 × 117,712
4. Step 4: Simplify right side
   76,014.50x = 13,856,114,944
5. Step 5: Solve for x
   x = 13,856,114,944/76,014.50
6. Step 6: Final answer
   x = 182,282.52