Finding the Third Proportional to 107,314 and 145,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,314 : 145,746.50 = 145,746.50 : x
2. Step 2: Convert to fraction form
   107,314/145,746.50 = 145,746.50/x
3. Step 3: Cross multiply
   107,314x = 145,746.50 × 145,746.50
4. Step 4: Simplify right side
   107,314x = 21,242,042,262.25
5. Step 5: Solve for x
   x = 21,242,042,262.25/107,314
6. Step 6: Final answer
   x = 197,942.88