Finding the Third Proportional to 68,623 and 146,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   68,623 : 146,758.50 = 146,758.50 : x
2. Step 2: Convert to fraction form
   68,623/146,758.50 = 146,758.50/x
3. Step 3: Cross multiply
   68,623x = 146,758.50 × 146,758.50
4. Step 4: Simplify right side
   68,623x = 21,538,057,322.25
5. Step 5: Solve for x
   x = 21,538,057,322.25/68,623
6. Step 6: Final answer
   x = 313,860.62