Finding the Third Proportional to 73,202.25 and 152,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   73,202.25 : 152,758.50 = 152,758.50 : x
2. Step 2: Convert to fraction form
   73,202.25/152,758.50 = 152,758.50/x
3. Step 3: Cross multiply
   73,202.25x = 152,758.50 × 152,758.50
4. Step 4: Simplify right side
   73,202.25x = 23,335,159,322.25
5. Step 5: Solve for x
   x = 23,335,159,322.25/73,202.25
6. Step 6: Final answer
   x = 318,776.53