Finding the Third Proportional to 70,629.50 and 152,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   70,629.50 : 152,462.50 = 152,462.50 : x
2. Step 2: Convert to fraction form
   70,629.50/152,462.50 = 152,462.50/x
3. Step 3: Cross multiply
   70,629.50x = 152,462.50 × 152,462.50
4. Step 4: Simplify right side
   70,629.50x = 23,244,813,906.25
5. Step 5: Solve for x
   x = 23,244,813,906.25/70,629.50
6. Step 6: Final answer
   x = 329,109.14