Finding the Third Proportional to 238,146 and 509,046

Step by Step Solution

1. Step 1: Write the proportion equation
   238,146 : 509,046 = 509,046 : x
2. Step 2: Convert to fraction form
   238,146/509,046 = 509,046/x
3. Step 3: Cross multiply
   238,146x = 509,046 × 509,046
4. Step 4: Simplify right side
   238,146x = 259,127,830,116
5. Step 5: Solve for x
   x = 259,127,830,116/238,146
6. Step 6: Final answer
   x = 1,088,104.90