Finding the Third Proportional to 238,151 and 509,056

Step by Step Solution

1. Step 1: Write the proportion equation
   238,151 : 509,056 = 509,056 : x
2. Step 2: Convert to fraction form
   238,151/509,056 = 509,056/x
3. Step 3: Cross multiply
   238,151x = 509,056 × 509,056
4. Step 4: Simplify right side
   238,151x = 259,138,011,136
5. Step 5: Solve for x
   x = 259,138,011,136/238,151
6. Step 6: Final answer
   x = 1,088,124.81