Finding the Third Proportional to 76,686 and 157,090.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,686 : 157,090.50 = 157,090.50 : x
2. Step 2: Convert to fraction form
   76,686/157,090.50 = 157,090.50/x
3. Step 3: Cross multiply
   76,686x = 157,090.50 × 157,090.50
4. Step 4: Simplify right side
   76,686x = 24,677,425,190.25
5. Step 5: Solve for x
   x = 24,677,425,190.25/76,686
6. Step 6: Final answer
   x = 321,798.31