Finding the Third Proportional to 78,960 and 118,066.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,960 : 118,066.50 = 118,066.50 : x
2. Step 2: Convert to fraction form
   78,960/118,066.50 = 118,066.50/x
3. Step 3: Cross multiply
   78,960x = 118,066.50 × 118,066.50
4. Step 4: Simplify right side
   78,960x = 13,939,698,422.25
5. Step 5: Solve for x
   x = 13,939,698,422.25/78,960
6. Step 6: Final answer
   x = 176,541.27