Finding the Third Proportional to 117,261 and 181,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,261 : 181,678.50 = 181,678.50 : x
2. Step 2: Convert to fraction form
   117,261/181,678.50 = 181,678.50/x
3. Step 3: Cross multiply
   117,261x = 181,678.50 × 181,678.50
4. Step 4: Simplify right side
   117,261x = 33,007,077,362.25
5. Step 5: Solve for x
   x = 33,007,077,362.25/117,261
6. Step 6: Final answer
   x = 281,483.85