Finding the Third Proportional to 73,914.50 and 114,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   73,914.50 : 114,680.50 = 114,680.50 : x
2. Step 2: Convert to fraction form
   73,914.50/114,680.50 = 114,680.50/x
3. Step 3: Cross multiply
   73,914.50x = 114,680.50 × 114,680.50
4. Step 4: Simplify right side
   73,914.50x = 13,151,617,080.25
5. Step 5: Solve for x
   x = 13,151,617,080.25/73,914.50
6. Step 6: Final answer
   x = 177,930.14