Finding the Third Proportional to 81,810 and 175,972.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,810 : 175,972.50 = 175,972.50 : x
2. Step 2: Convert to fraction form
   81,810/175,972.50 = 175,972.50/x
3. Step 3: Cross multiply
   81,810x = 175,972.50 × 175,972.50
4. Step 4: Simplify right side
   81,810x = 30,966,320,756.25
5. Step 5: Solve for x
   x = 30,966,320,756.25/81,810
6. Step 6: Final answer
   x = 378,515.11