Finding the Third Proportional to 81,966 and 176,387.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,966 : 176,387.50 = 176,387.50 : x
2. Step 2: Convert to fraction form
   81,966/176,387.50 = 176,387.50/x
3. Step 3: Cross multiply
   81,966x = 176,387.50 × 176,387.50
4. Step 4: Simplify right side
   81,966x = 31,112,550,156.25
5. Step 5: Solve for x
   x = 31,112,550,156.25/81,966
6. Step 6: Final answer
   x = 379,578.73