Finding the Third Proportional to 72,905.50 and 114,218.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,905.50 : 114,218.50 = 114,218.50 : x
2. Step 2: Convert to fraction form
   72,905.50/114,218.50 = 114,218.50/x
3. Step 3: Cross multiply
   72,905.50x = 114,218.50 × 114,218.50
4. Step 4: Simplify right side
   72,905.50x = 13,045,865,742.25
5. Step 5: Solve for x
   x = 13,045,865,742.25/72,905.50
6. Step 6: Final answer
   x = 178,942.13