Finding the Third Proportional to 102,386 and 155,010

Step by Step Solution

1. Step 1: Write the proportion equation
   102,386 : 155,010 = 155,010 : x
2. Step 2: Convert to fraction form
   102,386/155,010 = 155,010/x
3. Step 3: Cross multiply
   102,386x = 155,010 × 155,010
4. Step 4: Simplify right side
   102,386x = 24,028,100,100
5. Step 5: Solve for x
   x = 24,028,100,100/102,386
6. Step 6: Final answer
   x = 234,681.50