Finding the Third Proportional to 117,546 and 179,071.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,546 : 179,071.50 = 179,071.50 : x
2. Step 2: Convert to fraction form
   117,546/179,071.50 = 179,071.50/x
3. Step 3: Cross multiply
   117,546x = 179,071.50 × 179,071.50
4. Step 4: Simplify right side
   117,546x = 32,066,602,112.25
5. Step 5: Solve for x
   x = 32,066,602,112.25/117,546
6. Step 6: Final answer
   x = 272,800.45