Finding the Third Proportional to 118,561.50 and 177,846

Step by Step Solution

1. Step 1: Write the proportion equation
   118,561.50 : 177,846 = 177,846 : x
2. Step 2: Convert to fraction form
   118,561.50/177,846 = 177,846/x
3. Step 3: Cross multiply
   118,561.50x = 177,846 × 177,846
4. Step 4: Simplify right side
   118,561.50x = 31,629,199,716
5. Step 5: Solve for x
   x = 31,629,199,716/118,561.50
6. Step 6: Final answer
   x = 266,774.63