Finding the Third Proportional to 92,902 and 139,563

Step by Step Solution

1. Step 1: Write the proportion equation
   92,902 : 139,563 = 139,563 : x
2. Step 2: Convert to fraction form
   92,902/139,563 = 139,563/x
3. Step 3: Cross multiply
   92,902x = 139,563 × 139,563
4. Step 4: Simplify right side
   92,902x = 19,477,830,969
5. Step 5: Solve for x
   x = 19,477,830,969/92,902
6. Step 6: Final answer
   x = 209,659.97