Finding the Third Proportional to 78,434.50 and 161,041.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,434.50 : 161,041.50 = 161,041.50 : x
2. Step 2: Convert to fraction form
   78,434.50/161,041.50 = 161,041.50/x
3. Step 3: Cross multiply
   78,434.50x = 161,041.50 × 161,041.50
4. Step 4: Simplify right side
   78,434.50x = 25,934,364,722.25
5. Step 5: Solve for x
   x = 25,934,364,722.25/78,434.50
6. Step 6: Final answer
   x = 330,649.97