Finding the Third Proportional to 76,456 and 118,092.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,456 : 118,092.50 = 118,092.50 : x
2. Step 2: Convert to fraction form
   76,456/118,092.50 = 118,092.50/x
3. Step 3: Cross multiply
   76,456x = 118,092.50 × 118,092.50
4. Step 4: Simplify right side
   76,456x = 13,945,838,556.25
5. Step 5: Solve for x
   x = 13,945,838,556.25/76,456
6. Step 6: Final answer
   x = 182,403.46