Finding the Third Proportional to 120,985 and 181,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,985 : 181,597.50 = 181,597.50 : x
2. Step 2: Convert to fraction form
   120,985/181,597.50 = 181,597.50/x
3. Step 3: Cross multiply
   120,985x = 181,597.50 × 181,597.50
4. Step 4: Simplify right side
   120,985x = 32,977,652,006.25
5. Step 5: Solve for x
   x = 32,977,652,006.25/120,985
6. Step 6: Final answer
   x = 272,576.37