Finding the Third Proportional to 78,133 and 161,805.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,133 : 161,805.50 = 161,805.50 : x
2. Step 2: Convert to fraction form
   78,133/161,805.50 = 161,805.50/x
3. Step 3: Cross multiply
   78,133x = 161,805.50 × 161,805.50
4. Step 4: Simplify right side
   78,133x = 26,181,019,830.25
5. Step 5: Solve for x
   x = 26,181,019,830.25/78,133
6. Step 6: Final answer
   x = 335,082.74