Finding the Third Proportional to 96,100.50 and 140,446.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,100.50 : 140,446.50 = 140,446.50 : x
2. Step 2: Convert to fraction form
   96,100.50/140,446.50 = 140,446.50/x
3. Step 3: Cross multiply
   96,100.50x = 140,446.50 × 140,446.50
4. Step 4: Simplify right side
   96,100.50x = 19,725,219,362.25
5. Step 5: Solve for x
   x = 19,725,219,362.25/96,100.50
6. Step 6: Final answer
   x = 205,256.16