Finding the Third Proportional to 96,925.50 and 141,628.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,925.50 : 141,628.50 = 141,628.50 : x
2. Step 2: Convert to fraction form
   96,925.50/141,628.50 = 141,628.50/x
3. Step 3: Cross multiply
   96,925.50x = 141,628.50 × 141,628.50
4. Step 4: Simplify right side
   96,925.50x = 20,058,632,012.25
5. Step 5: Solve for x
   x = 20,058,632,012.25/96,925.50
6. Step 6: Final answer
   x = 206,948.97