Finding the Third Proportional to 116,796 and 180,447.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,796 : 180,447.50 = 180,447.50 : x
2. Step 2: Convert to fraction form
   116,796/180,447.50 = 180,447.50/x
3. Step 3: Cross multiply
   116,796x = 180,447.50 × 180,447.50
4. Step 4: Simplify right side
   116,796x = 32,561,300,256.25
5. Step 5: Solve for x
   x = 32,561,300,256.25/116,796
6. Step 6: Final answer
   x = 278,787.80