Finding the Third Proportional to 116,981.72 and 185,951.95

Step by Step Solution

1. Step 1: Write the proportion equation
   116,981.72 : 185,951.95 = 185,951.95 : x
2. Step 2: Convert to fraction form
   116,981.72/185,951.95 = 185,951.95/x
3. Step 3: Cross multiply
   116,981.72x = 185,951.95 × 185,951.95
4. Step 4: Simplify right side
   116,981.72x = 34,578,128,871.00
5. Step 5: Solve for x
   x = 34,578,128,871.00/116,981.72
6. Step 6: Final answer
   x = 295,585.75