Finding the Third Proportional to 73,883 and 117,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   73,883 : 117,009.50 = 117,009.50 : x
2. Step 2: Convert to fraction form
   73,883/117,009.50 = 117,009.50/x
3. Step 3: Cross multiply
   73,883x = 117,009.50 × 117,009.50
4. Step 4: Simplify right side
   73,883x = 13,691,223,090.25
5. Step 5: Solve for x
   x = 13,691,223,090.25/73,883
6. Step 6: Final answer
   x = 185,309.52