Finding the Third Proportional to 74,077 and 162,923.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,077 : 162,923.50 = 162,923.50 : x
2. Step 2: Convert to fraction form
   74,077/162,923.50 = 162,923.50/x
3. Step 3: Cross multiply
   74,077x = 162,923.50 × 162,923.50
4. Step 4: Simplify right side
   74,077x = 26,544,066,852.25
5. Step 5: Solve for x
   x = 26,544,066,852.25/74,077
6. Step 6: Final answer
   x = 358,330.75