Finding the Third Proportional to 71,302.50 and 152,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,302.50 : 152,727.50 = 152,727.50 : x
2. Step 2: Convert to fraction form
   71,302.50/152,727.50 = 152,727.50/x
3. Step 3: Cross multiply
   71,302.50x = 152,727.50 × 152,727.50
4. Step 4: Simplify right side
   71,302.50x = 23,325,689,256.25
5. Step 5: Solve for x
   x = 23,325,689,256.25/71,302.50
6. Step 6: Final answer
   x = 327,137.05