Finding the Third Proportional to 116,853 and 175,081.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,853 : 175,081.50 = 175,081.50 : x
2. Step 2: Convert to fraction form
   116,853/175,081.50 = 175,081.50/x
3. Step 3: Cross multiply
   116,853x = 175,081.50 × 175,081.50
4. Step 4: Simplify right side
   116,853x = 30,653,531,642.25
5. Step 5: Solve for x
   x = 30,653,531,642.25/116,853
6. Step 6: Final answer
   x = 262,325.59