Finding the Third Proportional to 116,901 and 180,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,901 : 180,807.50 = 180,807.50 : x
2. Step 2: Convert to fraction form
   116,901/180,807.50 = 180,807.50/x
3. Step 3: Cross multiply
   116,901x = 180,807.50 × 180,807.50
4. Step 4: Simplify right side
   116,901x = 32,691,352,056.25
5. Step 5: Solve for x
   x = 32,691,352,056.25/116,901
6. Step 6: Final answer
   x = 279,649.89