Finding the Third Proportional to 73,777.50 and 161,406

Step by Step Solution

1. Step 1: Write the proportion equation
   73,777.50 : 161,406 = 161,406 : x
2. Step 2: Convert to fraction form
   73,777.50/161,406 = 161,406/x
3. Step 3: Cross multiply
   73,777.50x = 161,406 × 161,406
4. Step 4: Simplify right side
   73,777.50x = 26,051,896,836
5. Step 5: Solve for x
   x = 26,051,896,836/73,777.50
6. Step 6: Final answer
   x = 353,114.39