Finding the Third Proportional to 76,018.50 and 117,718.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,018.50 : 117,718.50 = 117,718.50 : x
2. Step 2: Convert to fraction form
   76,018.50/117,718.50 = 117,718.50/x
3. Step 3: Cross multiply
   76,018.50x = 117,718.50 × 117,718.50
4. Step 4: Simplify right side
   76,018.50x = 13,857,645,242.25
5. Step 5: Solve for x
   x = 13,857,645,242.25/76,018.50
6. Step 6: Final answer
   x = 182,293.06