Finding the Third Proportional to 114,160.50 and 179,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,160.50 : 179,077.50 = 179,077.50 : x
2. Step 2: Convert to fraction form
   114,160.50/179,077.50 = 179,077.50/x
3. Step 3: Cross multiply
   114,160.50x = 179,077.50 × 179,077.50
4. Step 4: Simplify right side
   114,160.50x = 32,068,751,006.25
5. Step 5: Solve for x
   x = 32,068,751,006.25/114,160.50
6. Step 6: Final answer
   x = 280,909.34