Finding the Third Proportional to 119,277 and 161,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,277 : 161,419.50 = 161,419.50 : x
2. Step 2: Convert to fraction form
   119,277/161,419.50 = 161,419.50/x
3. Step 3: Cross multiply
   119,277x = 161,419.50 × 161,419.50
4. Step 4: Simplify right side
   119,277x = 26,056,254,980.25
5. Step 5: Solve for x
   x = 26,056,254,980.25/119,277
6. Step 6: Final answer
   x = 218,451.63