Finding the Third Proportional to 76,464 and 118,105.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,464 : 118,105.50 = 118,105.50 : x
2. Step 2: Convert to fraction form
   76,464/118,105.50 = 118,105.50/x
3. Step 3: Cross multiply
   76,464x = 118,105.50 × 118,105.50
4. Step 4: Simplify right side
   76,464x = 13,948,909,130.25
5. Step 5: Solve for x
   x = 13,948,909,130.25/76,464
6. Step 6: Final answer
   x = 182,424.53