Finding the Third Proportional to 137,412 and 196,132.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,412 : 196,132.50 = 196,132.50 : x
2. Step 2: Convert to fraction form
   137,412/196,132.50 = 196,132.50/x
3. Step 3: Cross multiply
   137,412x = 196,132.50 × 196,132.50
4. Step 4: Simplify right side
   137,412x = 38,467,957,556.25
5. Step 5: Solve for x
   x = 38,467,957,556.25/137,412
6. Step 6: Final answer
   x = 279,946.13