Finding the Third Proportional to 76,965 and 118,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,965 : 118,222.50 = 118,222.50 : x
2. Step 2: Convert to fraction form
   76,965/118,222.50 = 118,222.50/x
3. Step 3: Cross multiply
   76,965x = 118,222.50 × 118,222.50
4. Step 4: Simplify right side
   76,965x = 13,976,559,506.25
5. Step 5: Solve for x
   x = 13,976,559,506.25/76,965
6. Step 6: Final answer
   x = 181,596.30