Finding the Third Proportional to 117,681 and 180,055.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,681 : 180,055.50 = 180,055.50 : x
2. Step 2: Convert to fraction form
   117,681/180,055.50 = 180,055.50/x
3. Step 3: Cross multiply
   117,681x = 180,055.50 × 180,055.50
4. Step 4: Simplify right side
   117,681x = 32,419,983,080.25
5. Step 5: Solve for x
   x = 32,419,983,080.25/117,681
6. Step 6: Final answer
   x = 275,490.38