Finding the Third Proportional to 78,129 and 161,797.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,129 : 161,797.50 = 161,797.50 : x
2. Step 2: Convert to fraction form
   78,129/161,797.50 = 161,797.50/x
3. Step 3: Cross multiply
   78,129x = 161,797.50 × 161,797.50
4. Step 4: Simplify right side
   78,129x = 26,178,431,006.25
5. Step 5: Solve for x
   x = 26,178,431,006.25/78,129
6. Step 6: Final answer
   x = 335,066.76