Finding the Third Proportional to 101,820 and 155,754

Step by Step Solution

1. Step 1: Write the proportion equation
   101,820 : 155,754 = 155,754 : x
2. Step 2: Convert to fraction form
   101,820/155,754 = 155,754/x
3. Step 3: Cross multiply
   101,820x = 155,754 × 155,754
4. Step 4: Simplify right side
   101,820x = 24,259,308,516
5. Step 5: Solve for x
   x = 24,259,308,516/101,820
6. Step 6: Final answer
   x = 238,256.81