Finding the Third Proportional to 238,752 and 510,280

Step by Step Solution

1. Step 1: Write the proportion equation
   238,752 : 510,280 = 510,280 : x
2. Step 2: Convert to fraction form
   238,752/510,280 = 510,280/x
3. Step 3: Cross multiply
   238,752x = 510,280 × 510,280
4. Step 4: Simplify right side
   238,752x = 260,385,678,400
5. Step 5: Solve for x
   x = 260,385,678,400/238,752
6. Step 6: Final answer
   x = 1,090,611.51