Finding the Third Proportional to 116,937 and 180,913.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,937 : 180,913.50 = 180,913.50 : x
2. Step 2: Convert to fraction form
   116,937/180,913.50 = 180,913.50/x
3. Step 3: Cross multiply
   116,937x = 180,913.50 × 180,913.50
4. Step 4: Simplify right side
   116,937x = 32,729,694,482.25
5. Step 5: Solve for x
   x = 32,729,694,482.25/116,937
6. Step 6: Final answer
   x = 279,891.69