Finding the Third Proportional to 164,041.50 and 357,729

Step by Step Solution

1. Step 1: Write the proportion equation
   164,041.50 : 357,729 = 357,729 : x
2. Step 2: Convert to fraction form
   164,041.50/357,729 = 357,729/x
3. Step 3: Cross multiply
   164,041.50x = 357,729 × 357,729
4. Step 4: Simplify right side
   164,041.50x = 127,970,037,441
5. Step 5: Solve for x
   x = 127,970,037,441/164,041.50
6. Step 6: Final answer
   x = 780,107.70