Finding the Third Proportional to 78,534.56 and 117,484.59

Step by Step Solution

1. Step 1: Write the proportion equation
   78,534.56 : 117,484.59 = 117,484.59 : x
2. Step 2: Convert to fraction form
   78,534.56/117,484.59 = 117,484.59/x
3. Step 3: Cross multiply
   78,534.56x = 117,484.59 × 117,484.59
4. Step 4: Simplify right side
   78,534.56x = 13,802,629,768.60
5. Step 5: Solve for x
   x = 13,802,629,768.60/78,534.56
6. Step 6: Final answer
   x = 175,752.30