Finding the Third Proportional to 76,335 and 116,770.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,335 : 116,770.50 = 116,770.50 : x
2. Step 2: Convert to fraction form
   76,335/116,770.50 = 116,770.50/x
3. Step 3: Cross multiply
   76,335x = 116,770.50 × 116,770.50
4. Step 4: Simplify right side
   76,335x = 13,635,349,670.25
5. Step 5: Solve for x
   x = 13,635,349,670.25/76,335
6. Step 6: Final answer
   x = 178,625.13