Finding the Third Proportional to 137,907 and 193,366.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,907 : 193,366.50 = 193,366.50 : x
2. Step 2: Convert to fraction form
   137,907/193,366.50 = 193,366.50/x
3. Step 3: Cross multiply
   137,907x = 193,366.50 × 193,366.50
4. Step 4: Simplify right side
   137,907x = 37,390,603,322.25
5. Step 5: Solve for x
   x = 37,390,603,322.25/137,907
6. Step 6: Final answer
   x = 271,129.12