Finding the Third Proportional to 83,677.50 and 117,038.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,677.50 : 117,038.25 = 117,038.25 : x
2. Step 2: Convert to fraction form
   83,677.50/117,038.25 = 117,038.25/x
3. Step 3: Cross multiply
   83,677.50x = 117,038.25 × 117,038.25
4. Step 4: Simplify right side
   83,677.50x = 13,697,951,963.06
5. Step 5: Solve for x
   x = 13,697,951,963.06/83,677.50
6. Step 6: Final answer
   x = 163,699.35