Finding the Third Proportional to 341,499 and 501,175.50

Step by Step Solution

1. Step 1: Write the proportion equation
   341,499 : 501,175.50 = 501,175.50 : x
2. Step 2: Convert to fraction form
   341,499/501,175.50 = 501,175.50/x
3. Step 3: Cross multiply
   341,499x = 501,175.50 × 501,175.50
4. Step 4: Simplify right side
   341,499x = 251,176,881,800.25
5. Step 5: Solve for x
   x = 251,176,881,800.25/341,499
6. Step 6: Final answer
   x = 735,512.79