Finding the Third Proportional to 83,236 and 117,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,236 : 117,777.50 = 117,777.50 : x
2. Step 2: Convert to fraction form
   83,236/117,777.50 = 117,777.50/x
3. Step 3: Cross multiply
   83,236x = 117,777.50 × 117,777.50
4. Step 4: Simplify right side
   83,236x = 13,871,539,506.25
5. Step 5: Solve for x
   x = 13,871,539,506.25/83,236
6. Step 6: Final answer
   x = 166,653.12