Finding the Third Proportional to 78,458 and 161,050.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,458 : 161,050.50 = 161,050.50 : x
2. Step 2: Convert to fraction form
   78,458/161,050.50 = 161,050.50/x
3. Step 3: Cross multiply
   78,458x = 161,050.50 × 161,050.50
4. Step 4: Simplify right side
   78,458x = 25,937,263,550.25
5. Step 5: Solve for x
   x = 25,937,263,550.25/78,458
6. Step 6: Final answer
   x = 330,587.88