Finding the Third Proportional to 116,598.71 and 185,623.76

Step by Step Solution

1. Step 1: Write the proportion equation
   116,598.71 : 185,623.76 = 185,623.76 : x
2. Step 2: Convert to fraction form
   116,598.71/185,623.76 = 185,623.76/x
3. Step 3: Cross multiply
   116,598.71x = 185,623.76 × 185,623.76
4. Step 4: Simplify right side
   116,598.71x = 34,456,180,552.07
5. Step 5: Solve for x
   x = 34,456,180,552.07/116,598.71
6. Step 6: Final answer
   x = 295,510.82