Finding the Third Proportional to 342,577 and 521,953.50

Step by Step Solution

1. Step 1: Write the proportion equation
   342,577 : 521,953.50 = 521,953.50 : x
2. Step 2: Convert to fraction form
   342,577/521,953.50 = 521,953.50/x
3. Step 3: Cross multiply
   342,577x = 521,953.50 × 521,953.50
4. Step 4: Simplify right side
   342,577x = 272,435,456,162.25
5. Step 5: Solve for x
   x = 272,435,456,162.25/342,577
6. Step 6: Final answer
   x = 795,253.20