Finding the Third Proportional to 238,155 and 509,064

Step by Step Solution

1. Step 1: Write the proportion equation
   238,155 : 509,064 = 509,064 : x
2. Step 2: Convert to fraction form
   238,155/509,064 = 509,064/x
3. Step 3: Cross multiply
   238,155x = 509,064 × 509,064
4. Step 4: Simplify right side
   238,155x = 259,146,156,096
5. Step 5: Solve for x
   x = 259,146,156,096/238,155
6. Step 6: Final answer
   x = 1,088,140.73