Finding the Third Proportional to 77,709 and 118,081.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,709 : 118,081.50 = 118,081.50 : x
2. Step 2: Convert to fraction form
   77,709/118,081.50 = 118,081.50/x
3. Step 3: Cross multiply
   77,709x = 118,081.50 × 118,081.50
4. Step 4: Simplify right side
   77,709x = 13,943,240,642.25
5. Step 5: Solve for x
   x = 13,943,240,642.25/77,709
6. Step 6: Final answer
   x = 179,428.90