Finding the Third Proportional to 117,003 and 181,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,003 : 181,498.50 = 181,498.50 : x
2. Step 2: Convert to fraction form
   117,003/181,498.50 = 181,498.50/x
3. Step 3: Cross multiply
   117,003x = 181,498.50 × 181,498.50
4. Step 4: Simplify right side
   117,003x = 32,941,705,502.25
5. Step 5: Solve for x
   x = 32,941,705,502.25/117,003
6. Step 6: Final answer
   x = 281,545.82