Finding the Third Proportional to 77,715.75 and 118,093.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,715.75 : 118,093.50 = 118,093.50 : x
2. Step 2: Convert to fraction form
   77,715.75/118,093.50 = 118,093.50/x
3. Step 3: Cross multiply
   77,715.75x = 118,093.50 × 118,093.50
4. Step 4: Simplify right side
   77,715.75x = 13,946,074,742.25
5. Step 5: Solve for x
   x = 13,946,074,742.25/77,715.75
6. Step 6: Final answer
   x = 179,449.79