Finding the Third Proportional to 341,500 and 501,178

Step by Step Solution

1. Step 1: Write the proportion equation
   341,500 : 501,178 = 501,178 : x
2. Step 2: Convert to fraction form
   341,500/501,178 = 501,178/x
3. Step 3: Cross multiply
   341,500x = 501,178 × 501,178
4. Step 4: Simplify right side
   341,500x = 251,179,387,684
5. Step 5: Solve for x
   x = 251,179,387,684/341,500
6. Step 6: Final answer
   x = 735,517.97