Finding the Third Proportional to 119,817 and 181,912.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,817 : 181,912.50 = 181,912.50 : x
2. Step 2: Convert to fraction form
   119,817/181,912.50 = 181,912.50/x
3. Step 3: Cross multiply
   119,817x = 181,912.50 × 181,912.50
4. Step 4: Simplify right side
   119,817x = 33,092,157,656.25
5. Step 5: Solve for x
   x = 33,092,157,656.25/119,817
6. Step 6: Final answer
   x = 276,189.17