Finding the Third Proportional to 73,499 and 116,813

Step by Step Solution

1. Step 1: Write the proportion equation
   73,499 : 116,813 = 116,813 : x
2. Step 2: Convert to fraction form
   73,499/116,813 = 116,813/x
3. Step 3: Cross multiply
   73,499x = 116,813 × 116,813
4. Step 4: Simplify right side
   73,499x = 13,645,276,969
5. Step 5: Solve for x
   x = 13,645,276,969/73,499
6. Step 6: Final answer
   x = 185,652.55