Finding the Third Proportional to 116,994 and 181,489.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,994 : 181,489.50 = 181,489.50 : x
2. Step 2: Convert to fraction form
   116,994/181,489.50 = 181,489.50/x
3. Step 3: Cross multiply
   116,994x = 181,489.50 × 181,489.50
4. Step 4: Simplify right side
   116,994x = 32,938,438,610.25
5. Step 5: Solve for x
   x = 32,938,438,610.25/116,994
6. Step 6: Final answer
   x = 281,539.55