Finding the Third Proportional to 96,807 and 142,355

Step by Step Solution

1. Step 1: Write the proportion equation
   96,807 : 142,355 = 142,355 : x
2. Step 2: Convert to fraction form
   96,807/142,355 = 142,355/x
3. Step 3: Cross multiply
   96,807x = 142,355 × 142,355
4. Step 4: Simplify right side
   96,807x = 20,264,946,025
5. Step 5: Solve for x
   x = 20,264,946,025/96,807
6. Step 6: Final answer
   x = 209,333.48