Finding the Third Proportional to 86,769 and 175,952.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,769 : 175,952.50 = 175,952.50 : x
2. Step 2: Convert to fraction form
   86,769/175,952.50 = 175,952.50/x
3. Step 3: Cross multiply
   86,769x = 175,952.50 × 175,952.50
4. Step 4: Simplify right side
   86,769x = 30,959,282,256.25
5. Step 5: Solve for x
   x = 30,959,282,256.25/86,769
6. Step 6: Final answer
   x = 356,801.19