Finding the Third Proportional to 117,210 and 181,606.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,210 : 181,606.50 = 181,606.50 : x
2. Step 2: Convert to fraction form
   117,210/181,606.50 = 181,606.50/x
3. Step 3: Cross multiply
   117,210x = 181,606.50 × 181,606.50
4. Step 4: Simplify right side
   117,210x = 32,980,920,842.25
5. Step 5: Solve for x
   x = 32,980,920,842.25/117,210
6. Step 6: Final answer
   x = 281,383.17