Finding the Third Proportional to 78,466 and 161,066.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,466 : 161,066.50 = 161,066.50 : x
2. Step 2: Convert to fraction form
   78,466/161,066.50 = 161,066.50/x
3. Step 3: Cross multiply
   78,466x = 161,066.50 × 161,066.50
4. Step 4: Simplify right side
   78,466x = 25,942,417,422.25
5. Step 5: Solve for x
   x = 25,942,417,422.25/78,466
6. Step 6: Final answer
   x = 330,619.85