Finding the Third Proportional to 71,980.50 and 152,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,980.50 : 152,266.50 = 152,266.50 : x
2. Step 2: Convert to fraction form
   71,980.50/152,266.50 = 152,266.50/x
3. Step 3: Cross multiply
   71,980.50x = 152,266.50 × 152,266.50
4. Step 4: Simplify right side
   71,980.50x = 23,185,087,022.25
5. Step 5: Solve for x
   x = 23,185,087,022.25/71,980.50
6. Step 6: Final answer
   x = 322,102.33