Finding the Third Proportional to 78,796.50 and 114,822

Step by Step Solution

1. Step 1: Write the proportion equation
   78,796.50 : 114,822 = 114,822 : x
2. Step 2: Convert to fraction form
   78,796.50/114,822 = 114,822/x
3. Step 3: Cross multiply
   78,796.50x = 114,822 × 114,822
4. Step 4: Simplify right side
   78,796.50x = 13,184,091,684
5. Step 5: Solve for x
   x = 13,184,091,684/78,796.50
6. Step 6: Final answer
   x = 167,318.24