Finding the Third Proportional to 73,978 and 114,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   73,978 : 114,419.50 = 114,419.50 : x
2. Step 2: Convert to fraction form
   73,978/114,419.50 = 114,419.50/x
3. Step 3: Cross multiply
   73,978x = 114,419.50 × 114,419.50
4. Step 4: Simplify right side
   73,978x = 13,091,821,980.25
5. Step 5: Solve for x
   x = 13,091,821,980.25/73,978
6. Step 6: Final answer
   x = 176,969.13