Finding the Third Proportional to 405,507 and 592,852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   405,507 : 592,852.50 = 592,852.50 : x
2. Step 2: Convert to fraction form
   405,507/592,852.50 = 592,852.50/x
3. Step 3: Cross multiply
   405,507x = 592,852.50 × 592,852.50
4. Step 4: Simplify right side
   405,507x = 351,474,086,756.25
5. Step 5: Solve for x
   x = 351,474,086,756.25/405,507
6. Step 6: Final answer
   x = 866,752.21