Finding the Third Proportional to 116,910 and 182,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,910 : 182,209.50 = 182,209.50 : x
2. Step 2: Convert to fraction form
   116,910/182,209.50 = 182,209.50/x
3. Step 3: Cross multiply
   116,910x = 182,209.50 × 182,209.50
4. Step 4: Simplify right side
   116,910x = 33,200,301,890.25
5. Step 5: Solve for x
   x = 33,200,301,890.25/116,910
6. Step 6: Final answer
   x = 283,981.71