Finding the Third Proportional to 238,153 and 509,060

Step by Step Solution

1. Step 1: Write the proportion equation
   238,153 : 509,060 = 509,060 : x
2. Step 2: Convert to fraction form
   238,153/509,060 = 509,060/x
3. Step 3: Cross multiply
   238,153x = 509,060 × 509,060
4. Step 4: Simplify right side
   238,153x = 259,142,083,600
5. Step 5: Solve for x
   x = 259,142,083,600/238,153
6. Step 6: Final answer
   x = 1,088,132.77