Finding the Third Proportional to 374,962.50 and 535,815

Step by Step Solution

1. Step 1: Write the proportion equation
   374,962.50 : 535,815 = 535,815 : x
2. Step 2: Convert to fraction form
   374,962.50/535,815 = 535,815/x
3. Step 3: Cross multiply
   374,962.50x = 535,815 × 535,815
4. Step 4: Simplify right side
   374,962.50x = 287,097,714,225
5. Step 5: Solve for x
   x = 287,097,714,225/374,962.50
6. Step 6: Final answer
   x = 765,670.47