Finding the Third Proportional to 71,498 and 152,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,498 : 152,496.50 = 152,496.50 : x
2. Step 2: Convert to fraction form
   71,498/152,496.50 = 152,496.50/x
3. Step 3: Cross multiply
   71,498x = 152,496.50 × 152,496.50
4. Step 4: Simplify right side
   71,498x = 23,255,182,512.25
5. Step 5: Solve for x
   x = 23,255,182,512.25/71,498
6. Step 6: Final answer
   x = 325,256.41