Finding the Third Proportional to 101,333 and 155,984

Step by Step Solution

1. Step 1: Write the proportion equation
   101,333 : 155,984 = 155,984 : x
2. Step 2: Convert to fraction form
   101,333/155,984 = 155,984/x
3. Step 3: Cross multiply
   101,333x = 155,984 × 155,984
4. Step 4: Simplify right side
   101,333x = 24,331,008,256
5. Step 5: Solve for x
   x = 24,331,008,256/101,333
6. Step 6: Final answer
   x = 240,109.42