Finding the Third Proportional to 75,738 and 164,014.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,738 : 164,014.50 = 164,014.50 : x
2. Step 2: Convert to fraction form
   75,738/164,014.50 = 164,014.50/x
3. Step 3: Cross multiply
   75,738x = 164,014.50 × 164,014.50
4. Step 4: Simplify right side
   75,738x = 26,900,756,210.25
5. Step 5: Solve for x
   x = 26,900,756,210.25/75,738
6. Step 6: Final answer
   x = 355,181.76