Finding the Third Proportional to 118,185 and 177,367.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,185 : 177,367.50 = 177,367.50 : x
2. Step 2: Convert to fraction form
   118,185/177,367.50 = 177,367.50/x
3. Step 3: Cross multiply
   118,185x = 177,367.50 × 177,367.50
4. Step 4: Simplify right side
   118,185x = 31,459,230,056.25
5. Step 5: Solve for x
   x = 31,459,230,056.25/118,185
6. Step 6: Final answer
   x = 266,186.32