Finding the Third Proportional to 78,633 and 118,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,633 : 118,003.50 = 118,003.50 : x
2. Step 2: Convert to fraction form
   78,633/118,003.50 = 118,003.50/x
3. Step 3: Cross multiply
   78,633x = 118,003.50 × 118,003.50
4. Step 4: Simplify right side
   78,633x = 13,924,826,012.25
5. Step 5: Solve for x
   x = 13,924,826,012.25/78,633
6. Step 6: Final answer
   x = 177,086.29