Finding the Third Proportional to 78,357.75 and 117,535.31

Step by Step Solution

1. Step 1: Write the proportion equation
   78,357.75 : 117,535.31 = 117,535.31 : x
2. Step 2: Convert to fraction form
   78,357.75/117,535.31 = 117,535.31/x
3. Step 3: Cross multiply
   78,357.75x = 117,535.31 × 117,535.31
4. Step 4: Simplify right side
   78,357.75x = 13,814,549,684.47
5. Step 5: Solve for x
   x = 13,814,549,684.47/78,357.75
6. Step 6: Final answer
   x = 176,301.00