Finding the Third Proportional to 83,776.78 and 117,190.55

Step by Step Solution

1. Step 1: Write the proportion equation
   83,776.78 : 117,190.55 = 117,190.55 : x
2. Step 2: Convert to fraction form
   83,776.78/117,190.55 = 117,190.55/x
3. Step 3: Cross multiply
   83,776.78x = 117,190.55 × 117,190.55
4. Step 4: Simplify right side
   83,776.78x = 13,733,624,276.86
5. Step 5: Solve for x
   x = 13,733,624,276.86/83,776.78
6. Step 6: Final answer
   x = 163,931.15