Finding the Third Proportional to 238,154 and 509,060

Step by Step Solution

1. Step 1: Write the proportion equation
   238,154 : 509,060 = 509,060 : x
2. Step 2: Convert to fraction form
   238,154/509,060 = 509,060/x
3. Step 3: Cross multiply
   238,154x = 509,060 × 509,060
4. Step 4: Simplify right side
   238,154x = 259,142,083,600
5. Step 5: Solve for x
   x = 259,142,083,600/238,154
6. Step 6: Final answer
   x = 1,088,128.20