Finding the Third Proportional to 102,254 and 238,820

Step by Step Solution

1. Step 1: Write the proportion equation
   102,254 : 238,820 = 238,820 : x
2. Step 2: Convert to fraction form
   102,254/238,820 = 238,820/x
3. Step 3: Cross multiply
   102,254x = 238,820 × 238,820
4. Step 4: Simplify right side
   102,254x = 57,034,992,400
5. Step 5: Solve for x
   x = 57,034,992,400/102,254
6. Step 6: Final answer
   x = 557,777.62