Finding the Third Proportional to 114,460.50 and 177,079.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,460.50 : 177,079.50 = 177,079.50 : x
2. Step 2: Convert to fraction form
   114,460.50/177,079.50 = 177,079.50/x
3. Step 3: Cross multiply
   114,460.50x = 177,079.50 × 177,079.50
4. Step 4: Simplify right side
   114,460.50x = 31,357,149,320.25
5. Step 5: Solve for x
   x = 31,357,149,320.25/114,460.50
6. Step 6: Final answer
   x = 273,956.07