Finding the Third Proportional to 76,899 and 115,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,899 : 115,780.50 = 115,780.50 : x
2. Step 2: Convert to fraction form
   76,899/115,780.50 = 115,780.50/x
3. Step 3: Cross multiply
   76,899x = 115,780.50 × 115,780.50
4. Step 4: Simplify right side
   76,899x = 13,405,124,180.25
5. Step 5: Solve for x
   x = 13,405,124,180.25/76,899
6. Step 6: Final answer
   x = 174,321.18