Finding the Third Proportional to 78,365.50 and 117,550

Step by Step Solution

1. Step 1: Write the proportion equation
   78,365.50 : 117,550 = 117,550 : x
2. Step 2: Convert to fraction form
   78,365.50/117,550 = 117,550/x
3. Step 3: Cross multiply
   78,365.50x = 117,550 × 117,550
4. Step 4: Simplify right side
   78,365.50x = 13,818,002,500
5. Step 5: Solve for x
   x = 13,818,002,500/78,365.50
6. Step 6: Final answer
   x = 176,327.63