Finding the Third Proportional to 83,673 and 117,301.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,673 : 117,301.50 = 117,301.50 : x
2. Step 2: Convert to fraction form
   83,673/117,301.50 = 117,301.50/x
3. Step 3: Cross multiply
   83,673x = 117,301.50 × 117,301.50
4. Step 4: Simplify right side
   83,673x = 13,759,641,902.25
5. Step 5: Solve for x
   x = 13,759,641,902.25/83,673
6. Step 6: Final answer
   x = 164,445.42