Finding the Third Proportional to 117,507 and 179,181

Step by Step Solution

1. Step 1: Write the proportion equation
   117,507 : 179,181 = 179,181 : x
2. Step 2: Convert to fraction form
   117,507/179,181 = 179,181/x
3. Step 3: Cross multiply
   117,507x = 179,181 × 179,181
4. Step 4: Simplify right side
   117,507x = 32,105,830,761
5. Step 5: Solve for x
   x = 32,105,830,761/117,507
6. Step 6: Final answer
   x = 273,224.84