Finding the Third Proportional to 137,745 and 197,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,745 : 197,185.50 = 197,185.50 : x
2. Step 2: Convert to fraction form
   137,745/197,185.50 = 197,185.50/x
3. Step 3: Cross multiply
   137,745x = 197,185.50 × 197,185.50
4. Step 4: Simplify right side
   137,745x = 38,882,121,410.25
5. Step 5: Solve for x
   x = 38,882,121,410.25/137,745
6. Step 6: Final answer
   x = 282,276.10