Finding the Third Proportional to 77,759 and 116,617.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,759 : 116,617.50 = 116,617.50 : x
2. Step 2: Convert to fraction form
   77,759/116,617.50 = 116,617.50/x
3. Step 3: Cross multiply
   77,759x = 116,617.50 × 116,617.50
4. Step 4: Simplify right side
   77,759x = 13,599,641,306.25
5. Step 5: Solve for x
   x = 13,599,641,306.25/77,759
6. Step 6: Final answer
   x = 174,894.76