Finding the Third Proportional to 114,312 and 178,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,312 : 178,009.50 = 178,009.50 : x
2. Step 2: Convert to fraction form
   114,312/178,009.50 = 178,009.50/x
3. Step 3: Cross multiply
   114,312x = 178,009.50 × 178,009.50
4. Step 4: Simplify right side
   114,312x = 31,687,382,090.25
5. Step 5: Solve for x
   x = 31,687,382,090.25/114,312
6. Step 6: Final answer
   x = 277,200.84